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Wyświetlanie 1-15 z 44
Tytuł:
$(H_p,L_p)$-type inequalities for the two-dimensional dyadic derivative
Autorzy:
Weisz, Ferenc
Powiązania:
https://bibliotekanauki.pl/articles/1287322.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hardy spaces
p-atom
interpolation
Walsh functions
dyadic derivative
Opis:
It is shown that the restricted maximal operator of the two-dimensional dyadic derivative of the dyadic integral is bounded from the two-dimensional dyadic Hardy-Lorentz space $H_{p,q}$ to $L_{p,q}$ (2/3 < p < ∞, 0 < q ≤ ∞) and is of weak type $(L_1,L_1)$. As a consequence we show that the dyadic integral of a ∞ function $f ∈ L_1$ is dyadically differentiable and its derivative is f a.e.
Źródło:
Studia Mathematica; 1996, 120, 3; 271-288
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some non-homogeneous Hardy spaces on locally compact Vilenkin groups
Autorzy:
Lu, Shanzhen
Yang, Dachun
Powiązania:
https://bibliotekanauki.pl/articles/965121.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Vilenkin group
dual space
Herz space
atom
Hardy space
molecule
Źródło:
Colloquium Mathematicum; 1996, 69, 1; 1-17
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Strong convergence theorems for two-parameter Walsh-Fourier and trigonometric-Fourier series
Autorzy:
Weisz, Ferenc
Powiązania:
https://bibliotekanauki.pl/articles/1288490.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
martingale and classical Hardy spaces
p-atom
atomic decomposition
Walsh functions
Hardy-Littlewood inequality
Opis:
The martingale Hardy space $H_p([0,1)^2)$ and the classical Hardy space $H_p(^2)$ are introduced. We prove that certain means of the partial sums of the two-parameter Walsh-Fourier and trigonometric-Fourier series are uniformly bounded operators from $H_p$ to $L_p$ (0 < p ≤ 1). As a consequence we obtain strong convergence theorems for the partial sums. The classical Hardy-Littlewood inequality is extended to two-parameter Walsh-Fourier and trigonometric-Fourier coefficients. The dual inequalities are also verified and a Marcinkiewicz-Zygmund type inequality is obtained for BMO spaces.
Źródło:
Studia Mathematica; 1995-1996, 117, 2; 173-194
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Two-parameter Hardy-Littlewood inequalities
Autorzy:
Weisz, Ferenc
Powiązania:
https://bibliotekanauki.pl/articles/1287705.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hardy spaces
rectangle p-atom
atomic decomposition
Hardy-Littlewood inequalities
Opis:
The inequality (*) $(∑_{|n|=1}^{∞} ∑_{|m|=1}^{∞} |nm|^{p-2} |f̂(n,m)|^p)^{1/p} ≤ C_p ∥ƒ∥_{H_p}$ (0 < p ≤ 2) is proved for two-parameter trigonometric-Fourier coefficients and for the two-dimensional classical Hardy space $H_p$ on the bidisc. The inequality (*) is extended to each p if the Fourier coefficients are monotone. For monotone coefficients and for every p, the supremum of the partial sums of the Fourier series is in $L_p$ whenever the left hand side of (*) is finite. From this it follows that under the same condition the two-dimensional trigonometric-Fourier series of an arbitrary function from $H_1$ converges a.e. and also in $L_1$ norm to that function.
Źródło:
Studia Mathematica; 1996, 118, 2; 175-184
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cesàro summability of one- and two-dimensional trigonometric-Fourier series
Autorzy:
Weisz, Ferenc
Powiązania:
https://bibliotekanauki.pl/articles/966758.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
p-atom
Hardy spaces
Cesàro summability
atomic decomposition
p-quasilocal operator
interpolation
Opis:
We introduce p-quasilocal operators and prove that if a sublinear operator T is p-quasilocal and bounded from $L_∞$ to $L_∞$ then it is also bounded from the classical Hardy space $H_p(T)$ to $L_p$ (0 < p ≤ 1). As an application it is shown that the maximal operator of the one-parameter Cesàro means of a distribution is bounded from $H_p(T)$ to $L_p$ (3/4 < p ≤ ∞) and is of weak type $(L_1,L_1)$. We define the two-dimensional dyadic hybrid Hardy space $H_{1}^{♯}(T^2)$ and verify that the maximal operator of the Cesàro means of a two-dimensional function is of weak type $(H_{1}^{♯}(T^2),L_1)$. So we deduce that the two-parameter Cesàro means of a function $f ∈ H_1^{♯}(T^2) ⊃ Llog L$ converge a.e. to the function in question.
Źródło:
Colloquium Mathematicum; 1997, 74, 1; 123-133
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Riesz means of Fourier transforms and Fourier series on Hardy spaces
Autorzy:
Weisz, Ferenc
Powiązania:
https://bibliotekanauki.pl/articles/1217804.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hardy spaces
p-atom
atomic decomposition
interpolation
Fourier transforms
Riesz means
Opis:
Elementary estimates for the Riesz kernel and for its derivative are given. Using these we show that the maximal operator of the Riesz means of a tempered distribution is bounded from $H_p(ℝ)$ to $L_p(ℝ)$ (1/(α+1) < p < ∞) and is of weak type (1,1), where $H_p(ℝ)$ is the classical Hardy space. As a consequence we deduce that the Riesz means of a function $⨍ ∈ L_1(ℝ)$ converge a.e. to ⨍. Moreover, we prove that the Riesz means are uniformly bounded on $H_p(ℝ)$ whenever 1/(α+1) < p < ∞. Thus, in case $⨍ ∈ H_p(ℝ)$, the Riesz means converge to ⨍ in $H_p(ℝ)$ norm (1/(α+1) < p < ∞). The same results are proved for the conjugate Riesz means and for Fourier series of distributions.
Źródło:
Studia Mathematica; 1998, 131, 3; 253-270
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fejér means of two-dimensional Fourier transforms on $H_p(ℝ × ℝ)$
Autorzy:
Weisz, Ferenc
Powiązania:
https://bibliotekanauki.pl/articles/1396031.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
p-atom
Hardy spaces
atomic decomposition
interpolation
Fejér means
Opis:
The two-dimensional classical Hardy spaces $H_p(ℝ × ℝ)$ are introduced and it is shown that the maximal operator of the Fejér means of a tempered distribution is bounded from $H_p(ℝ × ℝ)$ to $L_p(ℝ^2)$ (1/2 < p ≤ ∞) and is of weak type $(H^{#}_1 (ℝ × ℝ), L_1(ℝ^2))$ where the Hardy space $H^#_1(ℝ × ℝ)$ is defined by the hybrid maximal function. As a consequence we deduce that the Fejér means of a function f ∈ $H_1^#(ℝ × ℝ)$ ⊃ $LlogL(ℝ^2)$ converge to f a.e. Moreover, we prove that the Fejér means are uniformly bounded on $H_p(ℝ × ℝ)$ whenever 1/2 < p < ∞. Thus, in case f ∈ $H_p(ℝ × ℝ)$, the Fejér means converge to f in $H_p(ℝ × ℝ)$ norm (1/2 < p < ∞). The same results are proved for the conjugate Fejér means.
Źródło:
Colloquium Mathematicum; 1999, 82, 2; 155-166
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relatively complemented ordered sets
Autorzy:
Chajda, Ivan
Morávková, Zuzana
Powiązania:
https://bibliotekanauki.pl/articles/728820.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
modular ordered set
complemented
relatively complemented ordered set
atom
Opis:
We investigate conditions for the existence of relative complements in ordered sets. For relatively complemented ordered sets with 0 we show that each element b ≠ 0 is the least one of the set of all upper bounds of all atoms contained in b.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 2; 207-217
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Electron elastic collisions with C3F6 molecule
Autorzy:
Możejko, P.
Szmytkowski, Cz.
Powiązania:
https://bibliotekanauki.pl/articles/1954668.pdf
Data publikacji:
2003
Wydawca:
Politechnika Gdańska
Tematy:
electron scattering
elastic cross section
hexafluoropropene
independent atom method
Opis:
We report calculations of differential and integral cross sections for intermediate- and high-energy (50-1000eV) elastic collisions of electrons with hexafluoropropene (C3F6) molecules. The calculations have been carried out using the independent atom model with static-polarization model potential. The present results are compared with elastic cross sections estimated from total and ionization experiments. Agreement between present calculations and the "experiment" is good for energies above 70eV.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2003, 7, 2; 171-178
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The scientific and cultural role of atomistics
Autorzy:
Sosnowski, R.
Powiązania:
https://bibliotekanauki.pl/articles/147868.pdf
Data publikacji:
2005
Wydawca:
Instytut Chemii i Techniki Jądrowej
Tematy:
atom
history of science
structure of matter
Opis:
The development of the idea that atoms are the building blocks of matter is presented. This hypothesis began in the Ancient Greece and, independently, in the Ancient India. Arguments are presented that the fact that the atomic theory started in these two regions and not e.g. in Egypt, China or by the Mayas can be linked to their writing. In both Greece and India the alphabet contained letters and not pictograms as used in the three other cultures. The role of Islamic scholars in preserving the knowledge of the ancient atomic theories is presented. In the Middle Ages a significant part of the Greek philosophic treatises have been firstly learned via the Arab translations. It is shown that the atomic concept has not been developed in the Middle Ages. This was because the church found it to be in a disagreement with the Holy Scripture. The start of the modern scientific atomic theory is presented and the role of the established quantitative laws of chemical reactions is discussed. Arguments are presented that the atoms discovered in the nineteenth century did not have the qualities of the atoms proposed by the Ancient Greek philosophers. Contrary to the atoms proposed by the Greeks the former can be decomposed into more fundamental parts. The discussion of the possibility that quarks, leptons and quanta of interactions fields meet the above qualities is presented.
Źródło:
Nukleonika; 2005, 50,suppl.3; 5-10
0029-5922
1508-5791
Pojawia się w:
Nukleonika
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some method for diagnosing convergence in MCMC setups via atoms and renewal sets
Autorzy:
Romaniuk, M.
Powiązania:
https://bibliotekanauki.pl/articles/970928.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
convergence diagnosis
Markov chain Monte Carlo methods
Markov property
atom
renewal set
renewal theory
automated diagnosis of simulations
Opis:
MCMC setups are among the best known methods for conducting computer simulations necessary in statistics, physics, biology, etc. However, to obtain appropriate solutions, additional convergence diagnosis must be applied for trajectory generated by Markov Chain. In the paper we present, the method for dealing with this problem, based on features of so called "secondary" chain (the chain with specially selected state space). The secondary chain is created from the initial chain by picking only some observations connected with atoms or renewal sets. The discussed method has some appealing properties, like high degree of diagnosis automation. Apart from theoretical lemmas, the example of application is also provided.
Źródło:
Control and Cybernetics; 2007, 36, 4; 985-1008
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convergence diagnosis to stationary distribution in MCMC methods via atoms and renewal sets
Autorzy:
Romaniuk, M.
Powiązania:
https://bibliotekanauki.pl/articles/971005.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
convergence diagnosis
Markov chain Monte Carlo methods
Markov property
atom
renewal set
renewal theory
automated diagnosis of simulations
Opis:
MCMC setups are one of the best known methods for conducting computer simulations useful in such areas as statistics, physics, biology, etc. However, to obtain appropriate solutions, the additional convergence diagnosis must be applied for Markov Chain trajectory generated by the algorithm. We present the method for dealing with this problem based on features of so called "secondary" chain (the chain with specially selected state space). The secondary chain is created from the initial chain by picking only some observations connected with atoms or renewal sets. In this paper we focus on finding the moment when the simulated chain is close enough to the stationary distribution of the Markov chain. The discussed method has some appealing properties, like high degree of diagnosis automation. Apart from theoretical lemmas and a more heuristic approach, the examples of application are also provided.
Źródło:
Control and Cybernetics; 2008, 37, 1; 205-229
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Normal pseudo-BCK-algebras
Autorzy:
Dymek, Grzegorz
Powiązania:
https://bibliotekanauki.pl/articles/745204.pdf
Data publikacji:
2011
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
pseudo-BCK-algebra
subalgebra
ideal
atom
Opis:
A normal pseudo-BCK-algebra \(X\) is an algebra in which every subalgebra of \(X\) is an ideal of \(X\). Characterizations of normal pseudo-BCK-algebras are given.
Źródło:
Commentationes Mathematicae; 2011, 51, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
O budowie świata
On the structure of Universe
Autorzy:
Kijeńska, M.
Powiązania:
https://bibliotekanauki.pl/articles/142710.pdf
Data publikacji:
2011
Wydawca:
Stowarzyszenie Inżynierów i Techników Przemysłu Chemicznego. Zakład Wydawniczy CHEMPRESS-SITPChem
Tematy:
budowa atomu
cząstki elementarne
struktura materii
atom structure
elementary particles
matter structure
Opis:
Artykuł opisuje rozwój wiedzy o budowie materii, poczynając od czasów starożytnych, kończąc na obecnym stanie wiedzy. Omówione zostały starożytne indyjskie i greckie teorie atomu, podejście alchemików, rozwój współczesnej chemii pozwalający na wprowadzenie pojęcia pierwiastka, atomu, elektronu, historyczne modele budowy atomu: model Thomsona, Rutherforda, Bohra i Gryzińskiego. Krótko omówione zostały wybrane zagadnienia chemii kwantowej. Na koniec podsumowano obecny stan wiedzy o budowie atomu a także cząstkach elementarnych.
The development of the knowledge on the matter structure was described, from ancient times to present. The ancient Indian and Greek theories of atom, the alchemists point of view were demonstrated, as well as the development of modern chemistry leading to the concepts of element, atom and electron. The historical models of atom structures of Thomson, Rutherford, Bohr and Gryziński were shortly discussed. The selected problems of quantum chemistry were briefly described. In the conclusion the present state on atom structure and elementary particles was summarized.
Źródło:
Chemik; 2011, 65, 12; 1290-1294
0009-2886
Pojawia się w:
Chemik
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Production of 166Ho and 153Sm using hot atom reactions in neutron irradiated tris(cyclopentadienyl) compounds
Autorzy:
Nassan, L.
Achkar, B.
Yassine, T.
Powiązania:
https://bibliotekanauki.pl/articles/147591.pdf
Data publikacji:
2011
Wydawca:
Instytut Chemii i Techniki Jądrowej
Tematy:
hot atom reactions
holmium-166
miniature nuclear source reactor (MNSR)
Opis:
The behavior of a recoiled 166Ho and 153Sm resulting from the reactions 165Ho(n,gamma)166Ho and 152Sm(n,gamma)153Sm in the organometallic compounds tris(cyclopentadienyl)holmium (C5H5)3Ho(III), and tris(cyclopentadienyl)samarium (C5H5)3Sm(III) were investigated. Several chemical separation methods were developed for each compound to separate the recoil products from the irradiated compound. Retention value of 0.2 �} 0.1% was obtained for (C5H5)3Ho(III) using sublimation. Another value of retention of 0.4 plus or minus 0.1% resulted when column chromatography was used. Paper chromatography (using Whatman Chr. 1 and Whatman Chr. 4) gave different retention values of about 0.11 plus or minus 0.05%, and 0.4 plus or minus 0.1%, respectively. Similar behavior of 153Sm in irradiated (C5H5)3Sm(III) was found when paper chromatography was used for separation. The different retention values given by different methods of separation were discussed. An important improvement of the specific activity was achieved as compared with other published results in this field. The obtained results pointed out that tris(cyclopentadienyl)holmium and samarium could be used to produce high specific activity of 166Ho and 153Sm in the Syrian low flux miniature nuclear source reactor (MNSR), where the averaged achieved enrichment factor for holmium compound was found to be greater than 1.6 x 107.
Źródło:
Nukleonika; 2011, 56, 4; 263-267
0029-5922
1508-5791
Pojawia się w:
Nukleonika
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 44

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