More on the Density of Analytic Polynomials in Abstract Hardy Spaces
, 2017 Let $\{F_n\}$ be the sequence of the Fej\'er kernels on the unit circle $\mathbb{T}$. The first author recently proved that if $X$ is a separable Banach function space on $\mathbb{T}$ such that the Hardy-Littlewood maximal operator $M$ is bounded on its ...
Karlovich, Alexei, Shargorodsky, Eugene
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A Fuglede type theorem for Fourier multiplier operators [PDF]
arXiv, 2022 In this note a Fuglede type theorem is proved for Fourier multiplier operators on translation invariant Banach function spaces with order continuous norm over compact abelian groups.
arxiv
Marcinkiewicz interpolation theorems for Orlicz and Lorentz gamma spaces
, 2014 Fix the indices and , 1 < < 1g; = ; . In this paper we obtain, as a special case, simple criteria to guarantee that a linear operator T satises T : L%(X) ! L%(X), whenever T : M(;X ) ! M(;X ) and T : M(;X ) ! M(;X ). 2010 Mathematics Subject Classication:
R. Kerman, Colin Phipps, L. Pick
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Weighted Hessian estimates in Orlicz spaces for nondivergence elliptic operators with certain potentials [PDF]
arXiv, 2023 We prove interior weighted Hessian estimates in Orlicz spaces for nondivergence type elliptic equations with a lower order term which involves a nonnegative potential satisfying a reverse H\"older type condition.
arxiv
Weak amenability of weighted Orlicz algebras
, 2017 Let G be a locally compact abelian group, $\omega:G\to (0,\infty)$ be a weight, and ($\Phi$,$\Psi$) be a complementary pair of strictly increasing continuous Young functions.
Samei, Ebrahim +2 more
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A T(L) theorem for the Calderón--Zygmund operators in BMO($\mathbb{R}^d$) [PDF]
arXiv, 2023 A variant of the global $T(1)$ criterion to characterize the bounded Calder\'{o}n--Zygmund operators on BMO($\mathbb{R}^d$) is proved. We apply it to the certain Calder\'on commutators.
arxiv
Embedding theorems for Lipschitz and Lorentz spaces on lower Ahlfors regular sets
, 2010 We prove norm inequalities between Lorentz and Besov–Lipschitz spaces of fractional smoothness. 1. Main results. In what follows we let (F, ρ) be a metric space with a positive σ-finite Borel measure μ.
Bartłomiej Dyda
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Chaotic translations on weighted Orlicz spaces
, 2018 Let $G$ be a locally compact group, $w$ be a weight on $G$ and $\Phi$ be a Young function. We give some characterizations for translation operators to be topologically transitive and chaotic on the weighted Orlicz space $L_w^\Phi(G)$.
Chen, Chung-Chuan +3 more
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The $\ell^s$-boundedness of a family of integral operators on UMD Banach function spaces
, 2018 We prove the $\ell^s$-boundedness of a family of integral operators with an operator-valued kernel on UMD Banach function spaces. This generalizes and simplifies earlier work by Gallarati, Veraar and the author, where the $\ell^s$-boundedness of this ...
A Amenta +27 more
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The canonical injection of the Hardy-Orlicz space Hw into the Bergman-Orlicz space Bw
, 2011 We study the canonical injection from the Hardy-Orlicz space H into the Bergman-Orlicz space B . Mathematics Subject Classification.
P. Lefèvre +3 more
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