Results 1 to 10 of about 82 (66)
Bergman projections on weighted Fock spaces in several complex variables [PDF]
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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Boundedness of the Bergman Projection on Generalized Fock–Sobolev Spaces on $${{\mathbb {C}}}^n$$ [PDF]
Complex Analysis and Operator Theory, 2020 In this paper we solve a problem posed by H. Bommier-Hato, M. Engliš and E.H. Youssfi in [3] on the boundedness of the Bergman-type projections in generalized Fock spaces. It will be a consequence of two facts: a full description of the embeddings between generalized Fock-Sobolev spaces and a complete characterization of the boundedness of the above ...
Carme Cascante, Daniel Pascuas
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Hankel Operators on Fock Spaces and Related Bergman Kernel Estimates [PDF]
Journal of Geometric Analysis, 2011 Hankel operators with anti-holomorphic symbols are studied for a large class of weighted Fock spaces on $\cn$. The weights defining these Hilbert spaces are radial and subject to a mild smoothness condition. In addition, it is assumed that the weights decay at least as fast as the classical Gaussian weight.
KRISTIAN Seip +2 more
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Regularity of extremal functions in weighted Bergman and Fock type spaces [PDF]
Rocky Mountain Journal of Mathematics, 2019 17 ...
Timothy Ferguson
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On the Bergman kernel in weighted monogenic Bargmann-Fock spaces
Advances in Mathematics, 2023 In this paper, we study the Bergman kernel $B_φ(x,y)$ of generalized Bargmann-Fock spaces in the setting of Clifford algebra. The versions of $L^2$-estimate method and weighted subharmonic inequality for Clifford algebra are established. Consequently we show the existence of $B_φ(x,y)$ and then give some estimates on and off the diagonal.
Weixiong Mai
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Sampling and interpolation in large Bergman and Fock spaces
Journal of Functional Analysis, 2007 We obtain sampling and interpolation theorems in weighted spaces of analytic functions for radial weights of arbitrary (more rapid than polynomial) growth. We give an application to invariant subspaces of arbitrary index in large weighted Bergman spaces.
Alexander Borichev, Karim Kellay
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Bergman-type projections in generalized Fock spaces
Journal of Mathematical Analysis and Applications, 2012 We give criteria for boundedness of the associated Bergman-type projections on Lp-spaces on Cn with respect to generalized Gaussian weights exp(-|z|^2m).
Miroslav Englis, El Hassan Youssfi
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BERGMAN KERNEL ESTIMATES FOR GENERALIZED FOCK SPACES
East Asian Mathematical Journal, 2017 Hong Rae Cho
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Toeplitz Operators on Fock Space over
Axioms, 2023 The first goal of this paper is to find a representation of the Fock space on Cn in terms of the weighted Bergman spaces of the projective spaces CPn−1; i.e., every function in the Fock space can be written as a direct sum of elements in weighted Bergman
Carlos González-Flores +3 more
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Localization and compactness in Bergman and Fock spaces [PDF]
Indiana University Mathematics Journal, 2015 v4: 18 pages, New version incorporates several changes suggested by the referee, version accepted by the Indiana University Mathematics ...
Isralowitz, Joshua +2 more
openaire +2 more sources