On the Bekollé-Bonami condition

DOI10.1007/s00208-003-0488-8zbMath1055.46018OpenAlexW2072936681MaRDI QIDQ1434153

Alexander Borichev

Publication date: 1 July 2004

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-003-0488-8

zbMATH Keywords

analytic functionBergman projectionmeromorphic functionsubharmonic function\({\mathcal B}_{p, q}\) classes\(B_p\) classesCarleson squares

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) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

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Sawyer-type characterizations and sharp weighted norm estimates for Bergman-type operators ⋮ Bloch functions and Bekolle-Bonami weights ⋮ Two weight inequality for Bergman projection ⋮ Weighted \(L^p\) estimates for the Bergman and Szegő projections on strongly pseudoconvex domains with near minimal smoothness ⋮ Characterizations of a limiting class \(B_\infty\) of Békollé-Bonami weights ⋮ 𝐿^{𝑝} regularity of weighted Bergman projections

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