On Sobolev theorem for higher commutators of fractional integrals in grand variable Herz spaces

DOI10.1016/j.cnsns.2023.107464OpenAlexW4386278235MaRDI QIDQ6058727

Babar Sultan, Ilyas Khan, Mehvish Sultan

Publication date: 1 November 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107464

zbMATH Keywords

Lebesgue spacesweighted estimatesBMO spacesfractional integrals operatorsgrand Herz spaces

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) Linear operators on function spaces (general) (47B38)

Related Items (2)

Boundedness of higher order commutators of Hardy operators on grand Herz-Morrey spaces ⋮ Grand Herz-Morrey spaces with variable exponent

Cites Work

• Variable exponent Herz spaces
• Maximal, potential and singular type operators on Herz spaces with variable exponents
• Boundedness of commutators on Herz spaces with variable exponent
• A note on the boundedness of sublinear operators on grand variable Herz spaces
• Weighted variable Morrey-Herz estimates for fractional Hardy operators
• Boundedness of multilinear Calderón-Zygmund operators on grand variable Herz spaces
• Commutators of the fractional Hardy operator on weighted variable Herz-Morrey spaces
• Boundedness for fractional Hardy-type operator on variable-exponent Herz-Morrey spaces
• Boundedness of the Marcinkiewicz integral on grand variable Herz spaces

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