Wszystkie pola: Maligranda, Lech - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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Skocz do pozycji: 2.

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Skocz do pozycji: 3.

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Skocz do pozycji: 4.

Tytuł:: Weighted inequalities for monotone and concave functions
Autorzy:: Heinig, Hans
Maligranda, Lech
Powiązania:: https://bibliotekanauki.pl/articles/1388599.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: weighted integral inequalities
weighted Hardy inequalities
weighted Hardy inequalities for monotone functions
weighted Favard-Berwald inequality
reverse Hölder inequality
concave functions
Opis:: Characterizations of weight functions are given for which integral inequalities of monotone and concave functions are satisfied. The constants in these inequalities are sharp and in the case of concave functions, constitute weighted forms of Favard-Berwald inequalities on finite and infinite intervals. Related inequalities, some of Hardy type, are also given.
Źródło:: Studia Mathematica; 1995, 116, 2; 133-165
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: A Carlson type inequality with blocks and interpolation
Autorzy:: Ya Kruglyak, Natan
Maligranda, Lech
Persson, Lars
Powiązania:: https://bibliotekanauki.pl/articles/1292922.pdf
Data publikacji:: 1993
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: concavity
Carlson's inequality
blocks
interpolation
Peetre's interpolation functor
Calderón-Lozanovskiǐ construction
Opis:: An inequality, which generalizes and unifies some recently proved Carlson type inequalities, is proved. The inequality contains a certain number of "blocks" and it is shown that these blocks are, in a sense, optimal and cannot be removed or essentially changed. The proof is based on a special equivalent representation of a concave function (see [6, pp. 320-325]). Our Carlson type inequality is used to characterize Peetre's interpolation functor $⟨⟩_{φ}$ (see [26]) and its Gagliardo closure on couples of functional Banach lattices in terms of the Calderón-Lozanovskiǐ construction. Our interest in this functor is inspired by the fact that if $φ = t^{θ}(0 < θ < 1)$, then, on couples of Banach lattices and their retracts, it coincides with the complex method (see [20], [27]) and, thus, it may be regarded as a "real version" of the complex method.
Źródło:: Studia Mathematica; 1993, 104, 2; 161-180
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

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

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