On Hardy spaces in complex ellipsoids

DOI10.5802/aif.1727zbMath0944.32004OpenAlexW1992661522MaRDI QIDQ1805924

Thomas Hansson

Publication date: 1 November 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_5_1477_0

zbMATH Keywords

atomic decompositionHardy spacesfactorizationcomplex ellipsoids

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items

Calderón–Zygmund operators on RBMO ⋮ Poletsky-Stessin Hardy spaces on complex ellipsoids in \(\mathbb {C}^{n}\) ⋮ Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness ⋮ Hardy spaces for a class of singular domains ⋮ The Cauchy integral in \(\mathbb{C}^n\) for domains with minimal smoothness ⋮ A \(T(P)\)-theorem for Zygmund spaces on domains ⋮ A Paley-Wiener theorem for convex sets in \({\mathbb{C}}^{n}\) ⋮ Composition operators between Hardy spaces on linearly convex domains in \(\mathbb{C}^2\) ⋮ Compactness and Duality on Poletsky–Stessin Hardy Spaces of Complex Ellipsoids ⋮ The role of an integration identity in the analysis of the Cauchy-Leray transform ⋮ Holomorphic projection and duality for domains in complex projective space ⋮ The spectrum of the Leray transform for convex Reinhardt domains in \(\mathbb C^2\) ⋮ The Cauchy-Leray integral: counter-examples to the L^p-theory ⋮ Cauchy-Leray-Fantappiè integral in linearly convex domains ⋮ Commutators of Cauchy-Fantappiè type integrals on generalized Morrey spaces on complex ellipsoids ⋮ Cauchy-type integrals in several complex variables ⋮ On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators

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