A note on the boundedness of sublinear operators on grand variable Herz spaces

DOI10.1186/s13660-019-2265-6zbMath1503.42012OpenAlexW3030542529WikidataQ126413154 ScholiaQ126413154MaRDI QIDQ2069265

Humberto Rafeiro, Hammad Nafis, Muhammad Asad Zaighum

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2265-6

zbMATH Keywords

sublinear operatorsHerz spacesvariable exponent analysisgrand 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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (12)

Boundedness of multilinear Calderón-Zygmund operators on grand variable Herz spaces ⋮ \((p, h)\)-convex functions associated with Hadamard and Fejér-Hadamard inequalities via \(k\)-fractional integral operators ⋮ On Sobolev theorem for higher commutators of fractional integrals in grand variable Herz spaces ⋮ Weighted grand Herz-type spaces and its applications ⋮ The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces ⋮ Unnamed Item ⋮ Herz spaces meet Morrey type spaces and complementary Morrey type spaces ⋮ Non-convex proximal pair and relatively nonexpansive maps with respect to orbits ⋮ Boundedness of the Marcinkiewicz integral on grand variable Herz spaces ⋮ Parametrized Littlewood-Paley operators on grand variable Herz spaces ⋮ On a class of sublinear operators in variable exponent Morrey-type spaces ⋮ Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces

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