Results 1 to 10 of about 663,433 (237)
On some spaces of holomorphic functions of exponential growth on a half-plane
Concrete Operators, 2016 In this paper we study spaces of holomorphic functions on the right half-plane R, that we denote by Mpω, whose growth conditions are given in terms of a translation invariant measure ω on the closed half-plane R.
Peloso Marco M., Salvatori Maura
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Sobolev Regularity for the Bergman Projection on Relatively Compact Domains in Hermitian Manifolds [PDF]
Journal of Geometric AnalysisGeneralizing a result of Berndtsson and Charpentier, we provide sufficient conditions for L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
Phillip S. Harrington
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L∞-Estimates of the Bergman projection in the Lie ball of ℂn
Journal of Function Spaces and Applications, 2011 In this paper, we consider estimates with loss for the Bergman projections of bounded symmetric domains of ℂn in their Harish-Chandra realizations. This paper is twofold: on one side we develop transfer methods between these bounded domains and their ...
Cyrille Nana
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L regularity of the Bergman projection on domains covered by the polydisc [PDF]
Journal of Functional Analysis, 2019 If a bounded domain can be covered by the polydisk through a rational proper holomorphic map, then the Bergman projection is $L^p$-bounded for $p$ in a certain range depending on the ramified rational covering.
Liwei Chen, S. Krantz, Yuan Yuan
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Weak‐type estimates for the Bergman projection on the polydisc and the Hartogs triangle [PDF]
Bulletin of the London Mathematical Society, 2019 In this paper, we investigate the weak‐type regularity of the Bergman projection. The two domains we focus on are the polydisc and the Hartogs triangle. For the polydisc, we provide a proof that the weak‐type behavior is of ‘ LlogL ’ type. This result is
Zhenghui Huo, B. Wick
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Weighted estimates for the Bergman projection on the Hartogs triangle [PDF]
Journal of Functional Analysis, 2019 We apply modern techniques of dyadic harmonic analysis to obtain sharp estimates for the Bergman projection in weighted Bergman spaces. Our main theorem focuses on the Bergman projection on the Hartogs triangle.
Zhenghui Huo, B. Wick
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Derivatives of the Berezin Transform
Journal of Function Spaces and Applications, 2012 For a rotation invariant domain Ω, we consider A2(Ω,μ) the Bergman space and we investigate some properties of the rank one projection A(z):=〈⋅,kz〉kz. We prove that the trace of all the strong derivatives of A(z) is zero. We also focus on the generalized
Hélène Bommier-Hato
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Harmonic Analysis Techniques in Several Complex Variables
Bruno Pini Mathematical Analysis Seminar, 2014 We give a survey of recent joint work with E.M. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem technique to the study of orthogonal projections onto the Hardy and Bergman spaces of holomorphic functions ...
Loredana Lanzani
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Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection
Journal of Function Spaces, 2018 We first introduce the multiple weights which are suitable for the study of Bergman type operators. Then, we give the sharp weighted estimates for multilinear fractional Bergman operators and fractional maximal function.
Juan Zhang, Senhua Lan, Qingying Xue
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