Boundedness criteria for maximal functions and potentials on the half-space in weighted Lebesgue spaces with variable exponents

DOI10.1080/10652460902867924zbMath1184.42014OpenAlexW1965420670MaRDI QIDQ3651164

Muhammad Asif, Vakhtang Kokilashvili, Alexander Meskhi

Publication date: 8 December 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460902867924

zbMATH Keywords

Lebesgue spacestrace inequalityvariable exponenttwo-weight inequalitypotentialsfractional maximal functionsvariable \(L^p\)

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)

Related Items (2)

Weighted norm inequalities for the maximal operator on variable Lebesgue spaces ⋮ Two-weight inequalities for the maximal operator in a Lebesgue space with variable exponent

Cites Work

• Weighted norm inequalities for operators of potential type and fractional maximal functions
• Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. II
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• Weighted Hardy spaces
• Weighted norm inequalities for maximal operators and Pisier's theorem on factorization through \(L^{p{\infty}}\)
• On Sobolev theorem for Riesz-type potentials in Lebesgue spaces with variable exponent
• Maximal and fractional operators in weighted \(L^{p(x)}\) spaces
• Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• An Interpolation Problem for Bounded Analytic Functions
• Convolution and potential type operators inL^p(x)(Rⁿ)
• Convolution type operators inl^p(x)
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
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• Lp Estimates for (Pluri-) Subharmonic Functions.
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