Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

Wyszukujesz frazę "weights" wg kryterium: Temat


Wyświetlanie 1-8 z 8
Tytuł:
On sharp reiteration theorems and weighted norm inequalities
Autorzy:
Bastero, Jesús
Milman, Mario
Ruiz, Francisco
Powiązania:
https://bibliotekanauki.pl/articles/1206002.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
reiteration
weights
Hardy inequality
Opis:
We prove sharp end forms of Holmstedt's reiteration theorem which are closely connected with a general form of Gehring's Lemma. Reverse type conditions for the Hardy-Littlewood-Pólya order are considered and the maximal elements are shown to satisfy generalized Gehring conditions. The methods we use are elementary and based on variants of reverse Hardy inequalities for monotone functions.
Źródło:
Studia Mathematica; 2000, 142, 1; 7-24
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Weighted Hardy inequalities and Hardy transforms of weights
Autorzy:
Cerdà, Joan
Martín, Joaquim
Powiązania:
https://bibliotekanauki.pl/articles/1206120.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hardy's inequalities
Hardy transform
weights
Opis:
Many problems in analysis are described as weighted norm inequalities that have given rise to different classes of weights, such as $A_p$-weights of Muckenhoupt and $B_p$-weights of Ariño and Muckenhoupt. Our purpose is to show that different classes of weights are related by means of composition with classical transforms. A typical example is the family $M_p$ of weights w for which the Hardy transform is $L_p(w)$-bounded. A $B_p$-weight is precisely one for which its Hardy transform is in $M_p$, and also a weight whose indefinite integral is in $A_{p+1}$
Źródło:
Studia Mathematica; 2000, 139, 2; 189-196
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Integral operators and weighted amalgams
Autorzy:
Carton-Lebrun, C.
Heinig, H.
Hofmann, S.
Powiązania:
https://bibliotekanauki.pl/articles/1290479.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
amalgam spaces
weights
$A_p$ weights
Hardy operator
Hardy-Littlewood maximal operator
weighted amalgam inequalities
Opis:
For large classes of indices, we characterize the weights u, v for which the Hardy operator is bounded from $ℓ^{q̅}(L^{p̅}_{v})$ into $ℓ^{q}(L^{p}_{u})$. For more general operators of Hardy type, norm inequalities are proved which extend to weighted amalgams known estimates in weighted $L^p$-spaces. Amalgams of the form $ℓ^{q}(L^{p}_{w})$, 1 < p,q < ∞ , q ≠ p, $w ∈ A_p$, are also considered and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and local maximal operator in these spaces are obtained.
Źródło:
Studia Mathematica; 1994, 109, 2; 133-157
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some weighted inequalities for general one-sided maximal operators
Autorzy:
J. Martín-Reyes, F.
de la Torre, A.
Powiązania:
https://bibliotekanauki.pl/articles/1220679.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
one-sided maximal operators
Cesàro averages
weights
Opis:
We characterize the pairs of weights on ℝ for which the operators $M_{h,k}^{+}f(x) = \underset{\text{sup}}{c>x}h(x,c) \int_{x}^{c} f(s)k(x,s,c)ds$ are of weak type (p,q), or of restricted weak type (p,q), 1 ≤ p < q < ∞, between the Lebesgue spaces with the coresponding weights. The functions h and k are positive, h is defined on ${(x,c): x < c}$, while k is defined on ${(x,s,c): x < s < c}$. If $h(x,c) = (c-x)^{-β}$, $k(x,s,c) = (c-s)^{α-1}$, 0 ≤ β ≤ α ≤ 1, we obtain the operator $M_{α,β}^{+}f = \underset{c>x}{\text{sup}} 1/(c-x)^{β} \int_{x}^{c} f(s)/(c-s)^{1-α} ds$. For this operator, under the assumption 1/p - 1/q = α - β, we extend the weak type characterization to the case p = q and prove that in the case of equal weights and 1 < p < ∞, weak and strong type are equivalent. If we take α = β we characterize the strong type weights for the operator $M_{α,α}^{+}$ introduced by W. Jurkat and J. Troutman in the study of $C_α$ differentiation of the integral.
Źródło:
Studia Mathematica; 1997, 122, 1; 1-14
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Weighted inequalities for one-sided maximal functions in Orlicz spaces
Autorzy:
Ortega Salvador, Pedro
Powiązania:
https://bibliotekanauki.pl/articles/1217888.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
one-sided maximal functions
weighted inequalities
weights
Orlicz spaces
Opis:
Let $M_{g}^{+}$ be the maximal operator defined by $M_{g}^{+}⨍(x) = \underset{h>0}{\text{sup}} (ʃ_{x}^{x+h} |⨍|g)/(ʃ_{x}^{x+h} g)$, where g is a positive locally integrable function on ℝ. Let Φ be an N-function such that both Φ and its complementary N-function satisfy $Δ_2$. We characterize the pairs of positive functions (u,ω) such that the weak type inequality $u({x ∈ ℝ | M_{g}^{+}⨍(x) > λ}) ≤ C/(Φ(λ)) \int_ℝ Φ(|⨍|)ω$ holds for every ⨍ in the Orlicz space $L_Φ(ω)$. We also characterize the positive functions ω such that the integral inequality $\int_ℝ Φ(|M_{g}^{+}⨍|)ω ≤ \int_ℝ Φ(|⨍|)ω$ holds for every $⨍ ∈ L_Φ(ω)$. Our results include some already obtained for functions in $L^p$ and yield as consequences one-dimensional theorems due to Gallardo and Kerman-Torchinsky.
Źródło:
Studia Mathematica; 1998, 131, 2; 101-114
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The one-sided minimal operator and the one-sided reverse Holder inequality
Autorzy:
Cruz-Uribe, David
Neugebauer, C.
Olesen, V.
Powiązania:
https://bibliotekanauki.pl/articles/1288722.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
one-sided (A_p) weights
reverse Hölder inequality
minimal function
Opis:
We introduce the one-sided minimal operator, $m^+f$, which is analogous to the one-sided maximal operator. We determine the weight classes which govern its two-weight, strong and weak-type norm inequalities, and show that these two classes are the same. Then in the one-weight case we use this class to introduce a new one-sided reverse Hölder inequality which has several applications to one-sided $(A^+_p)$ weights.
Źródło:
Studia Mathematica; 1995, 116, 3; 255-270
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Calderón-Zygmund operators and unconditional bases of weighted Hardy spaces
Autorzy:
García-Cuerva, J.
Kazarian, K.
Powiązania:
https://bibliotekanauki.pl/articles/1290466.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
wavelets
splines
$H^p$ spaces
$A_p$ weights
Schauder and unconditional bases
Opis:
We study sufficient conditions on the weight w, in terms of membership in the $A_p$ classes, for the spline wavelet systems to be unconditional bases of the weighted space $H^p(w)$. The main tool to obtain these results is a very simple theory of regular Calderón-Zygmund operators.
Źródło:
Studia Mathematica; 1994, 109, 3; 255-276
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Distribution and rearrangement estimates of the maximal function and interpolation
Autorzy:
U. Asekritova, Irina
Krugljak, Natan
Maligranda, Lech
Persson, Lars-Erik
Powiązania:
https://bibliotekanauki.pl/articles/1219812.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
maximal functions
weights
weak type estimate
rearrangement
distribution functioni
inequalities
interpolation
K-functional
weighted spaces
Opis:
There are given necessary and sufficient conditions on a measure dμ(x)=w(x)dx under which the key estimates for the distribution and rearrangement of the maximal function due to Riesz, Wiener, Herz and Stein are valid. As a consequence, we obtain the equivalence of the Riesz and Wiener inequalities which seems to be new even for the Lebesgue measure. Our main tools are estimates of the distribution of the averaging function f** and a modified version of the Calderón-Zygmund decomposition. Analogous methods allow us to obtain K-functional formulas in terms of the maximal function for couples of weighted $L_p$-spaces.
Źródło:
Studia Mathematica; 1997, 124, 2; 107-132
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-8 z 8

    Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies