Averaging and orthogonal operators on variable exponent spaces \(L^{p(\cdot)}(\varOmega)\)

DOI10.1016/j.jmaa.2013.11.048zbMath1320.42014OpenAlexW2013927325MaRDI QIDQ2019220

César Ruiz, Francisco L. Hernández

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.11.048

zbMATH Keywords

Hardy-Littlewood maximal operatorbounded projectionsvariable exponent spaces

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) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (4)

Corrigendum to ``Averaging and orthogonal operators on variable exponent spaces \(L^{p(\cdot)}(\Omega)\) ⋮ On the structure of variable exponent spaces ⋮ Nonlinear subsets of function spaces and spaceability ⋮ Weak compactness and representation in variable exponent Lebesgue spaces on infinite measure spaces

Cites Work

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• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• \(l_q\)-structure of variable exponent spaces
• Indices, convexity and concavity in Musielak-Orlicz spaces
• An example of a space of \(L^{p(x)}\) on which the Hardy-Littlewood maximal operator is not bounded
• Ranges of positive contractive projections in Nakano spaces
• On geometric properties of the spaces \(L^{p(x)}\)
• Some remarks on the Hardy-Littlewood maximal function on variable \(L^p\) spaces
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• Embeddings between discrete weighted Lebesgue spaces with variable exponents
• On some questions related to the maximal operator on variable 𝐿^{𝑝} spaces
• Averaging operators on l^{p_n} and L^p(x)
• Modulared sequence spaces

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