Results 31 to 40 of about 663,433 (237)
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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Solution of Extremal Problems in Bergman Spaces Using the Bergman Projection [PDF]
Computational Methods and Function Theory, 2014 25 pages, to appear in Computational Methods and Function ...
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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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Projective generators inHardy and Bergman spaces
Bulletin des Sciences Mathématiques, 2000 A function \(f\) in the Bergman space \(A^2\) (respectively, the Hardy space \(H^2)\) is called a projective generator of defect \(n\) if \[ \text{codim}_{[g]} [P_{[g]}f]\leq n \] for any \(g\in A^2\) (respectively, \(H^2)\) such that \(P_{[g]}f\neq 0\), and if equality holds for some \(g\).
Korenblum, B. +2 more
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A Sharp Constant for the Bergman Projection [PDF]
Canadian Mathematical Bulletin, 2015 AbstractFor the Bergman projection operator P we prove thatHere λ stands for the hyperbolic metric in the unit ball B of Cn, and B1 denotes the Besov space with an adequate semi-norm. We also consider a generalization of this result. This generalizes some recent results due to Perälä.
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On estimates for weighted Bergman projections [PDF]
Proceedings of the American Mathematical Society, 2015 In this note we show that the weighted $L^{2}$-Sobolev estimates obtained by P. Charpentier, Y. Dupain & M. Mounkaila for the weighted Bergman projection of the Hilbert space $L^{2}\left( ,d _{0}\right)$ where $ $ is a smoothly bounded pseudoconvex domain of finite type in $\mathbb{C}^{n}$ and $ _{0}=\left(- _{0}\right)^{r}d $, $ $ being the
Charpentier, P. +2 more
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Sharp Békollé estimates for the Bergman projection
Journal of Functional Analysis, 2013 We prove sharp estimates for the Bergman projection in weighted Bergman spaces in terms of the Bekolle constant. Our main tools are a dyadic model dominating the operator and an adaptation of a method of Cruz-Uribe, Martell and Perez.
Pott, Sandra, Reguera, Maria Carmen
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ON SOME NEW PROJECTION THEOREMS AND SHARP ESTIMATES IN HERZ TYPE SPACES IN BOUNDED PSEUDOCONVEX DOMAINS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 We prove new projection theorems for new Herz type spaces in various domains in Cn in the unit disk, unit ball, bounded pseudoconvex domains and based on these results we provide sharp estimates for distances in such type spaces under one condition on ...
R. F. Shamoyan, A. N. Shipka
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