Hardy inequality in variable grand Lebesgue spaces for nonincreasing functions

DOI10.1134/S0001434623010315OpenAlexW4323821456MaRDI QIDQ2690987

Yanyan Li

Publication date: 17 March 2023

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

Full work available at URL: https://doi.org/10.1134/s0001434623010315

zbMATH Keywords

weightsvariable Lebesgue spacenonincreasing functionsHardy averaging operatorvariable grand Lebesgue space

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Unnamed Item
• Hardy type operators on grand Lebesgue spaces for non-increasing functions
• 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
• Weighted Hardy modular inequalities in variable \(L^p\) spaces for decreasing functions
• Topology of the space \(\mathcal L^{p(t)}([0,t)\)]
• Weighted norm inequalities for averaging operators of monotone functions
• 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
• Hardy-Littlewood maximal operator in weighted grand variable exponent Lebesgue space
• Recent trends in grand Lebesgue spaces
• On small Lebesgue spaces
• Grand and small Lebesgue spaces and their analogs
• Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces
• Grand and small \(X^p\) spaces and generalized duality
• Weighted criteria for the Hardy transform under the \(B_p\) condition in grand Lebesgue spaces and some applications
• Integral operators on fully measurable weighted grand Lebesgue spaces
• On grand Lorentz spaces and the maximal operator
• Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
• The maximal theorem for weighted grand Lebesgue spaces
• Weighted variable L^pintegral inequalities for the maximal operator on non-increasing functions

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