Hardy type operators on grand Lebesgue spaces for non-increasing functions

DOI10.1016/J.TRMI.2016.02.003zbMath1350.42012OpenAlexW2342151072MaRDI QIDQ325130

Pankaj Jain, Monika Singh, Arun Pal Singh

Publication date: 17 October 2016

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2016.02.003

zbMATH Keywords

Hardy type operatorsgrand Lebesgue spacesnon-increasing functions

Mathematics Subject Classification ID

Harmonic analysis in one variable (42A99)

Related Items (10)

On Hardy type inequalities in grand Lebesgue spacesL_p)for 0 <p≤ 1 ⋮ Hilbert inequality on grand function spaces ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ On quasi-grand Lebesgue spaces and the Hausdorff operator ⋮ Hardy inequality in variable grand Lebesgue spaces for nonincreasing functions ⋮ O'Neil type convolution inequalities in Lorentz spaces ⋮ On the solvability of nonlinear ordinary differential equations in grand Lebesgue spaces ⋮ A note on the continuity of minors in grand Lebesgue spaces ⋮ Duality of fully measurable grand Lebesgue space ⋮ Grand and small \(X^p\) spaces and generalized duality

Cites Work

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• Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces
• Weighted norm inequalities for averaging operators of monotone functions
• On the integrability of the Jacobian under minimal hypotheses
• Weighted criteria for the Hardy transform under the \(B_p\) condition in grand Lebesgue spaces and some applications
• 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
• Some classical operators on Lorentz space
• Weighted Norm Inequalities for General Operators on Monotone Functions
• Boundedness of Some Integral Operators
• Rubio de Francia’s extrapolation theorem for $B_p$ weights

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