A note on maximal operator on \(\ell^{p_n}\) and \(L^{p(x)}(\mathbb R)\)

DOI10.1155/2007/294367zbMath1143.46011OpenAlexW2160749329MaRDI QIDQ2471299

Aleš Nekvinda

Publication date: 22 February 2008

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2007/294367

zbMATH Keywords

maximal operatorvariable exponent Lebesgue spacesone-sided maximal functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities for sums, series and integrals (26D15) Banach sequence spaces (46B45)

Related Items (10)

Direct and inverse theorems of approximation of functions in weighted Orlicz type spaces with variable exponent ⋮ Grand Lebesgue sequence spaces ⋮ Atomic decomposition of Hardy-Morrey spaces with variable exponents ⋮ Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent ⋮ Characterization of \(B_{p(\cdot)}\) weight and some maximal characterizations of anisotropic weighted Hardy-Lorentz spaces with variable exponent ⋮ Duality of variable exponent Triebel-Lizorkin and Besov spaces ⋮ Variable exponent Hardy spaces associated with discrete Laplacians on graphs ⋮ Maximal operator on variable Lebesgue spaces for almost monotone radial exponent ⋮ On some questions related to the maximal operator on variable 𝐿^{𝑝} spaces ⋮ Approximative characteristics of modular Orlicz spaces

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