Results 51 to 60 of about 7,070 (191)

Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent

Journal of Function Spaces, 2014
We introduce new Besov and Triebel-Lizorkin spaces with variable integrable exponent, which are different from those introduced by the second author early.
Baohua Dong, Jingshi Xu
doaj   +1 more source

Hardy spaces associated with some anisotropic mixed-norm Herz spaces and their applications

Open Mathematics, 2023
In this article, we introduce anisotropic mixed-norm Herz spaces K˙q→,a→α,p(Rn){\dot{K}}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb{R}}}^{n}) and Kq→,a→α,p(Rn){K}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb ...
Zhao Yichun, Zhou Jiang
doaj   +1 more source

The best constant for the centered maximal operator on radial decreasing functions [PDF]

, 2010
We show that the lowest constant appearing in the weak type (1,1) inequality satisfied by the centered Hardy-Littlewood maximal operator on radial integrable functions is 1.Comment: corrected ...
Aldaz, J. M., Lázaro, J. Pérez
core  

Potential trace inequalities via a Calderón‐type theorem

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula, Luboš Pick, Daniel Spector   +2 more
wiley   +1 more source

Weighted Variable Sobolev Spaces and Capacity

Journal of Function Spaces and Applications, 2012
We define weighted variable Sobolev capacity and discuss properties of capacity in the space 𝑊1,𝑝(⋅)(ℝ𝑛,𝑤). We investigate the role of capacity in the pointwise definition of functions in this space if the Hardy-Littlewood maximal operator is bounded on ...
Ismail Aydin
doaj   +1 more source

A modification of Hardy-Littlewood maximal function on Lie groups [PDF]

AUT Journal of Mathematics and Computing
For a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In this ...
Maysam Maysami Sadr
doaj   +1 more source

Hardy–Littlewood fractional maximal operators on homogeneous trees

Mathematische Zeitschrift
AbstractWe study the mapping properties of the Hardy–Littlewood fractional maximal operator between Lorentz spaces of the homogeneous tree and discuss the optimality of all the results.
Matteo Levi, Federico Santagati
openaire   +3 more sources

The weak (1,1) boundedness of Fourier integral operators with complex phases

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley   +1 more source

Singular measures and convolution operators

, 2002
We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1,1) inequalities.
Aldaz, Aldaz, Brannan, J. M. Aldaz, Juan L. Varona, Melas, Melas, Menárguez, Stein   +8 more
core   +1 more source

Evaluating Allocations of Opportunities

International Economic Review, Volume 67, Issue 1, Page 365-397, February 2026.
ABSTRACT This paper provides a robust criterion for comparing lists of probability distributions—interpreted as allocations of opportunities—faced by different social groups. We axiomatically argue in favor of comparing those lists of probability distributions on the basis of a uniform—among groups—valuation of their expected utility.
Francesco Andreoli, Mathieu Faure, Nicolas Gravel, Tista Kundu   +3 more
wiley   +1 more source