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A convolution integral operator

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Publication:1172264
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DOI10.1007/BF00971697zbMath0501.47019MaRDI QIDQ1172264

Vladimir D. Stepanov

Publication date: 1982

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


zbMATH Keywords

sequence spaceHilbert transformconvolution operator with non-summable kernelMinkowski, Young, Hardy, Hilbert and Titchmarsh inequalities for sequences


Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inequalities involving derivatives and differential and integral operators (26D10) Integral, integro-differential, and pseudodifferential operators (47Gxx)


Related Items (1)

On the convolution operator in Morrey spaces




Cites Work

  • \(H^p\) spaces of several variables
  • ($L_{p}$,$L_{q}$) mapping properties of convolution transforms
  • A real variable characterization of $H^{p}$
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