Results 11 to 20 of about 1,679 (203)
Bergman projection induced by radial weight [PDF]
Advances in Mathematics, 2021 The question of when the Bergman projection $P_ω$ induced by a radial weight $ω$ on the unit disc is a bounded operator from one space into another is of primordial importance in the theory of Bergman spaces. The long-standing problem of describing the radial weights $ω$ such that $P_ω$ is bounded on the Lebesgue space $L^p_ω$ had been known to experts
Rättyä, Jouni +1 more
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Norm of the Bergman Projection [PDF]
MATHEMATICA SCANDINAVICA, 2014 This paper deals with the the norm of the weighted Bergman projection operator $P_{\alpha}:L^\infty(B)\rightarrow\mathscr{B}$ where $\alpha > - 1$ and $\mathscr{B}$ is the Bloch space of the unit ball $B$ of the $\mathsf{C}^n$. We consider two Bloch norms, the standard Bloch norm and invariant norm w.r.t. automorphisms of the unit ball.
Kalaj, David, Markovic, Marijan
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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 $A^p_ω$ which are useful in the study of this question. In particular, we shall focus on a decomposition norm theorem for radial weights~$ω$ with the doubling property $\int_{r}^1ω(s)
Peláez, José Ángel, Rättyä, Jouni
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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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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 smoothing properties of the Bergman projection [PDF]
Journal of Mathematical Analysis and Applications, 2021 Some additions and corrections are added, for instance in Theorem 1.3 and Theorem 1 ...
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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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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 $L^{2}\left(Ω,dμ_{0}\right)$ where $Ω$ is a smoothly bounded pseudoconvex domain of finite type in $\mathbb{C}^{n}$ and $μ_{0}=\left(-ρ_{0}\right)^{r}dλ$, $λ$ being the ...
Charpentier, P. +2 more
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A smoothing property of the Bergman projection [PDF]
Mathematische Annalen, 2011 23 ...
Herbig, Anne-Katrin, McNeal, Jeffery D.
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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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