Hardy-Littlewood maximal operator in weighted grand variable exponent Lebesgue space

DOI10.1007/s00009-017-0921-yzbMath1375.26014OpenAlexW2606201237MaRDI QIDQ1674191

Alexander Meskhi, Vakhtang Kokilashvili, Alberto Fiorenza

Publication date: 1 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0921-y

zbMATH Keywords

weightHardy-Littlewood maximal functionone-weight inequalitygrand variable exponent Lebesgue space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38)

Related Items (9)

A modular variable Orlicz inequality for the local maximal operator ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Local grand variable exponent Lebesgue spaces ⋮ Hardy inequality in variable grand Lebesgue spaces for nonincreasing functions ⋮ Unnamed Item ⋮ Weighted variable exponent grand Lebesgue spaces and inequalities of approximation ⋮ Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces ⋮ Unnamed Item ⋮ Modulars from Nakano onwards

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp weighted bounds involving \(A_\infty\)
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces
• Maximal and Calderón-Zygmund operators in grand variable exponent Lebesgue spaces
• Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• New diffusion models in image processing
• A direct approach to the duality of grand and small Lebesgue spaces
• Topology of the space \(\mathcal L^{p(t)}([0,t)\)]
• On the integrability of the Jacobian under minimal hypotheses
• Inverting the \(p\)-harmonic operator
• New properties of small Lebesgue spaces and their applications
• Duality and reflexivity in grand Lebesgue spaces
• Critical variable exponent functionals in image restoration
• On small Lebesgue spaces
• Grand and small Lebesgue spaces and their analogs
• Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator
• Regularity results for stationary electro-rheological fluids
• Maximal and fractional operators in weighted \(L^{p(x)}\) spaces
• Trace inequalities for fractional integrals in grand Lebesgue spaces
• On weighted Bernstein type inequality in grand variable exponent Lebesgue spaces
• Maximal functions, potentials and singular integrals in grand Morrey spaces
• The maximal theorem for weighted grand Lebesgue spaces
• Convolution type operators inl^p(x)
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Classical Fourier Analysis
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Mathematical modeling of electrorheological materials

This page was built for publication: Hardy-Littlewood maximal operator in weighted grand variable exponent Lebesgue space