Dilation operators and integral operators on amalgam space \((L_p,l_q)\)

DOI10.1007/S11587-019-00431-5zbMath1429.26027OpenAlexW2910172248MaRDI QIDQ2281541

Kwok-Pun Ho

Publication date: 3 January 2020

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-019-00431-5

zbMATH Keywords

integral operatorHardy inequalityHadamard fractional integralHilbert inequalityHausdorff operatoramalgam spacesMellin convolution

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) Function spaces arising in harmonic analysis (42B35) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) General integral transforms (44A05)

Related Items (11)

Boundedness of fractional integral operators on Hardy-amalgam spaces ⋮ Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces ⋮ Hardy's inequalities and integral operators on Herz-Morrey spaces ⋮ Weak and strong boundedness for \(p\)-adic fractional Hausdorff operator and its commutator ⋮ Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ The Bourgain-Brezis-Mironescu formula on ball Banach function spaces ⋮ Maximal function characterizations of Hardy spaces associated with both non-negative self-adjoint operators satisfying Gaussian estimates and ball quasi-Banach function spaces ⋮ Compactness characterizations of commutators on ball Banach function spaces ⋮ Erdélyi-Kober fractional integral operators on ball Banach function spaces ⋮ Hardy’s inequalities, Hilbert inequalities and fractional integrals on function spaces of $q$-integral $p$-variation

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