Hausdorff operator on the unit polydisk in

DOI10.1080/17476930600610528zbMath1121.47023OpenAlexW2167149454MaRDI QIDQ5478861

Stevo Stević, Robert P. Gilbert, Der-Chen E. Chang

Publication date: 13 July 2006

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930600610528

zbMATH Keywords

Hardy spaceholomorphic functionspolydiskintegral meansHausdorff operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (1)

Hardy spaces in Reinhardt domains, and Hausdorff operators

Cites Work

• On the coefficients of close-to-convex functions
• Weighted integrals of holomorphic functions on the polydisc
• Cesàro-type operators on Hardy, \(BMOA\) and Bloch spaces
• Weighted integrals of holomorphic functions on the polydisc. II.
• The generalized Libera transform on Hardy, Bergman and Bloch spaces on the unit polydisc
• On the Bergman space norm of the Cesàro operator
• THE CESÀRO OPERATOR ON BOUNDED ANALYTIC FUNCTIONS
• Semigroups of composition operators in Bergman spaces
• Composition Semigroups and the Cesàro Operator OnH ^p
• Cesàro averaging operators
• The generalized Cesáro operator on Dirichlet spaces
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Hausdorff Matrices
• An Inequality for Hausdorff Means

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