Maximal functions for Lebesgue spaces with variable exponent approaching 1

DOI10.32917/hmj/1147883393zbMath1111.46019OpenAlexW2148681044WikidataQ128873144 ScholiaQ128873144MaRDI QIDQ2504334

Toshihide Futamura, Yoshihiro Mizuta

Publication date: 25 September 2006

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1147883393

zbMATH Keywords

maximal functionvariable exponent Lebesgue space\(L^1\) regularity

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) Classical Banach spaces in the general theory (46B25)

Related Items (10)

Modular inequalities for the maximal operator in variable Lebesgue spaces ⋮ Construction of function spaces close to \(L^\infty \) with associate space close to \(L^1\) ⋮ Growth properties for Riesz potentials of functions in weighted variable \(L^{p(\cdot)}\) spaces ⋮ Boundedness of fractional integral operators in Herz spaces on the hyperplane ⋮ Boundedness of maximal operators on Herz spaces with radial variable exponent ⋮ Boundary growth of generalized Riesz potentials on the unit ball in the variable settings ⋮ Minimizers of the variable exponent, non-uniformly convex Dirichlet energy ⋮ 𝐿log𝐿 results for the maximal operator in variable 𝐿^{𝑝} spaces ⋮ Harnack's inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\) ⋮ HERZ–MORREY SPACES ON THE UNIT BALL WITH VARIABLE EXPONENT APPROACHING AND DOUBLE PHASE FUNCTIONALS

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