Convolutions and general transforms on \(L^ p\)

DOI10.1215/S0012-7094-60-02722-8zbMath0188.18202OpenAlexW1979843868MaRDI QIDQ2537224

Richard R. Goldberg

Publication date: 1960

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-60-02722-8

zbMATH Keywords

integral equations, integral transforms

Related Items (20)

Hausdorff operators on Fock spaces and a coefficient multiplier problem ⋮ Weighted Triebel-Lizorkin and Herz spaces estimates for p-adic Hausdorff type operator and its applications ⋮ Hausdorff operator of special kind in Morrey and Herz \(p\)-adic spaces ⋮ Functional equations and linear transformations. III A: Permutability and inversion ⋮ Weighted Morrey-Herz space estimates for rough Hausdorff operator and its commutators ⋮ Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space ⋮ Hausdorff operator and commutator on weighted Morrey-Herz spaces on \(p\)-adic fields ⋮ The \(p\)-adic Hausdorff operator and some applications to Hardy-Hilbert type inequalities ⋮ Bounds of weighted Hardy–Cesàro operators on weighted Lebesgue andBMOspaces ⋮ Multidimensional Hausdorff operator on \(p\)-adic field ⋮ Hausdorff operator of special kind on \(p\)-adic field and \(BMO\)-type spaces ⋮ The \(p\)-adic weighted Hardy-Cesàro operator and an application to discrete Hardy inequalities ⋮ Convolutions and other integral transforms ⋮ The Hausdorff Mean of a Fourier-Stieltjes Transform ⋮ Hausdorff operator on weighted Lebesgue and grand Lebesgue \(p\)-adic spaces ⋮ Functional equations and linear transformations. III B: Factorisation ⋮ On a theorem concerning Watson transforms ⋮ Hausdorff operators on Bergman spaces of the upper half plane ⋮ Spaces of convolutions and fractional integrals ⋮ Multilinear Hausdorff operator and commutators on weighted Morrey and Herz spaces

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