Results 31 to 40 of about 1,915 (105)
Sarason's Toeplitz product problem for a class of Fock spaces [PDF]
, 2017 Sarason's Toeplitz product problem asks when the operator T u T v ‾ is bounded on various Hilbert spaces of analytic functions, where u and v are analytic.
H. Bommier-Hato, E. Youssfi, Kehe Zhu
semanticscholar +1 more source
Weak conditions for interpolation in holomorphic spaces [PDF]
, 2000 An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in Lp spaces of holomorphic functions of Paley-Wiener-type when $0 < p \leq 1$, of Fock-
Schuster, A. P., Seip, K.
core +3 more sources
On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms [PDF]
Journal of Mathematics and Physics, 2019 This paper deals with some special integral transforms of Bargmann-Fock type in the setting of quaternionic valued slice hyperholomorphic and Cauchy-Fueter regular functions. The construction is based on the well-known Fueter mapping theorem.
K. Diki, R. S. Kraußhar, I. Sabadini
semanticscholar +1 more source
An integral representation for Besov and Lipschitz spaces
, 2011 It is well known that functions in the analytic Besov space $B_1$ on the unit disk $\D$ admits an integral representation $$f(z)=\ind\frac{z-w}{1-z\bar w}\,d\mu(w),$$ where $\mu$ is a complex Borel measure with $|\mu|(\D)
Arazy +6 more
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New Inequalities and an Integral Expression for the 𝒜‐Berezin Number
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi +4 more
wiley +1 more source
Arithmetic progressions and holomorphic phase retrieval
Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3316-3330, November 2024.Abstract We study the determination of a holomorphic function from its absolute value. Given a parameter θ∈R$\theta \in \mathbb {R}$, we derive the following characterization of uniqueness in terms of rigidity of a set Λ⊆R$\Lambda \subseteq \mathbb {R}$: if F$\mathcal {F}$ is a vector space of entire functions containing all exponentials eξz,ξ∈C∖{0}$e^{
Lukas Liehr
wiley +1 more source
Bergman-type projections in generalized Fock spaces [PDF]
, 2011 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), m>0.
H. Bommier-Hato, M. Engliš, E. Youssfi
semanticscholar +1 more source
Toeplitz operators defined by sesquilinear forms: Fock space case
, 2014 The classical theory of Toeplitz operators in spaces of analytic functions deals usually with symbols that are bounded measurable functions on the domain in question.
Rozenblum, Grigori, Vasilevski, Nikolai
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Properties of Toeplitz operators on analytic function spaces : from function symbols to distributions [PDF]
, 2011 Toeplitz operators are among the most important classes of concrete operators with applications to several branches of pure and applied mathematics. This doctoral thesis deals with Toeplitz operators on analytic Bergman, Bloch and Fock spaces. Usually, a
Perälä, Antti
core
Riesz bases of reproducing kernels in Fock type spaces
, 2009 In a scale of Fock spaces $\mathcal F_\varphi$ with radial weights $\varphi$ we study the existence of Riesz bases of (normalized) reproducing kernels. We prove that these spaces possess such bases if and only if $\varphi(x)$ grows at most like $(\log x)^
Borichev, A., Lyubarskii, Yu.
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