Results 1 to 10 of about 1,677 (75)
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.
Seip, Kristian, Youssfi, El Hassan
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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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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.
Borichev, Alexander +2 more
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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
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Zero Sets for Spaces of Analytic Functions [PDF]
, 2018 We show that under mild conditions, a Gaussian analytic function $\boldsymbol F$ that a.s. does not belong to a given weighted Bergman space or Bargmann-Fock space has the property that a.s.
Lyons, Russell, Zhai, Alex
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Weighted composition operators in functional Banach spaces: an axiomatic approach [PDF]
, 2020 We work with very general Banach spaces of analytic functions in the disk or other domains which satisfy a minimum number of natural axioms. Among the preliminary results, we discuss some implications of the basic axioms and identify all functional ...
Arévalo, Irina, Vukotić, Dragan
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, 1998 We give a description of all measures such that for any function in a weighted Fock spaces the $L^p$ norm with respect to the measure is equivalent to the usual norm in the space.
Ortega-Cerdà, Joaquim
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Hankel operators on Fock spaces [PDF]
, 2013 We study Hankel operators on the weighted Fock spaces Fp. The boundedness and compactness of these operators are characterized in terms of BMO and VMO, respectively.
Perala, A. +2 more
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Regularity of extremal functions in weighted Bergman and Fock type spaces [PDF]
Rocky Mountain Journal of Mathematics, 2019 We discuss the regularity of extremal functions in certain weighted Bergman and Fock type spaces. Given an appropriate analytic function $k$, the corresponding extremal function is the function with unit norm maximizing $\text{Re} \int_ f(z) \overline{k(z)}\, (z) \, dA(z)$ over all functions $f$ of unit norm, where $ $ is the weight function and $
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