Results 11 to 20 of about 31,322 (197)
Atomic decomposition of real-variable type for Bergman spaces in the unit ball of $\mathbb{C}^n$ [PDF]
, 2013 In this paper, we show that every (weighted) Bergman space $\mathcal{A}^p_{\alpha} (\mathbb{B}_n)$ in the complex ball admits an atomic decomposition of real-variable type for any $0 -1.$ More precisely, for each $f \in \mathcal{A}^p_{\alpha} (\mathbb{B}
Chen, Zeqian, Ouyang, Wei
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-regularity of the Bergman projection on quotient domains [PDF]
Canadian Journal of Mathematics, 2021 AbstractWe obtain sharp ranges of $L^p$ -boundedness for domains in a wide class of Reinhardt domains representable as sublevel sets of monomials, by expressing them as quotients of simpler domains. We prove a general transformation law relating $L^p$ -boundedness on a domain and its quotient by a finite group.
Edholm, Luke David +3 more
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On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
Journal of Function Spaces, 2014 Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to ...
Romi F. Shamoyan, Olivera Mihić
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Bergman projections on weighted Fock spaces in several complex variables
Journal of Inequalities and Applications, 2017 Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
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A Theorem of Nehari Type on Weighted Bergman Spaces of the Unit Ball
Abstract and Applied Analysis, 2008 This paper shows that if S is a bounded linear operator acting on the weighted Bergman spaces Aα2 on the unit ball in ℂn such that STzi=Tz¯iS (i=1,…,n), where Tzi=zif and Tz¯i=P(z¯if); and where P is the weighted Bergman projection, then S must be a ...
Yufeng Lu, Jun Yang
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On Hardy spaces on worm domains
Concrete Operators, 2016 In this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does ...
Monguzzi Alessandro
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𝐿^{𝑝} regularity of weighted Bergman projections [PDF]
Transactions of the American Mathematical Society, 2012 We investigate L p L^p regularity of weighted Bergman projections on the unit disc and L p L^p regularity of ordinary Bergman projections in higher dimensions.
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On the boundedness of Bergman projection [PDF]
Advanced Courses of Mathematical Analysis VI, 2016 The main purpose of this survey is to gather results on the boundedness of the Bergman projection. First, we shall go over some equivalent norms on weighted Bergman spaces $A^p_\omega$ which are useful in the study of this question. In particular, we shall focus on a decomposition norm theorem for radial weights~$\omega$ with the doubling property ...
Peláez, José Ángel, Rättyä, Jouni
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Finite-rank intermediate Hankel operators on the Bergman space
International Journal of Mathematics and Mathematical Sciences, 2001 Let L2=L2(D,r dr dθ/π) be the Lebesgue space on the open unit disc and let La2=L2∩ℋol(D) be the Bergman space. Let P be the orthogonal projection of L2 onto La2 and let Q be the orthogonal projection onto L¯a,02={g∈L2;g¯∈La2, g(0)=0}. Then I−P≥Q.
Takahiko Nakazi, Tomoko Osawa
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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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