Results 41 to 50 of about 122,241 (182)
Fourier representations in Bergman spaces
Journal of Mathematical Analysis and Applications, 2019 We consider a class of domains, generalizing the upper half-plane, and admitting rotational, translational and scaling symmetries, analogous to the half-plane. We prove Paley-Wiener type representations of functions in Bergman spaces of such domains with respect to each of these three groups of symmetries.
Debraj Chakrabarti, Pranav Upadrashta
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Commuting Separately Quasihomogeneous Small Hankel Operators on Pluriharmonic Bergman Space
Journal of Function Spaces, 2018 We study (semi)commutativity of small Hankel operators with separately quasihomogeneous symbols on the pluriharmonic Bergman space of the unit ball. Some product problems are also concerned.
Qi Wu, Chuntao Qin, Yong Chen, Yile Zhao
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Bloch-type space of temperature functions on a finite cylinder
Journal of Function Spaces and Applications, 2007 We define the Bloch-type space BT as the linear space of temperature functions on the cylinder ST=𝕊1×(0,T) such that sup(x,t)∈Tt|∂u∂t(x,t)|
Marcos López-García
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Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces
Annales Mathematicae Silesianae, 2019 In this paper we will introduce the concept of weighted reproducing kernel of l2(ℂ) space, in similiar way as it is done in case of weighted reproducing kernel of Bergman space.
Żynda Tomasz Łukasz
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Remarks on hyponormal Toeplitz operators with nonharmonic symbols
Open Mathematics, 2023 In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator Tφ{T}_{\varphi } on the Bergman space A2(D){A}^{2}\left({\mathbb{D}}).
Kim Sumin, Lee Jongrak
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Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
Discrete Dynamics in Nature and Society, 2009 The boundedness of the composition operator from the weighted Bergman space to the recently introduced by the author, the 𝑛th weighted space on the unit disc, is characterized.
Stevo Stević
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Compact Operators on the Bergman Spaces with Variable Exponents on the Unit Disc of C
International Journal of Mathematics and Mathematical Sciences, 2018 We study the compactness of some classes of bounded operators on the Bergman space with variable exponent. We show that via extrapolation, some results on boundedness of the Toeplitz operators with general L1 symbols and compactness of bounded operators ...
Dieudonne Agbor
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Finite rank intermediate Hankel operators on the Bergman space [PDF]
Surveys in Mathematics and its Applications, 2011 In this paper we characterize the kernel of an intermediate Hankel operator on the Bergman space in terms of the inner divisors and obtain a characterization for finite rank intermediate Hankel operators.
Namita Das
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Bergman spaces of natural G-manifolds
Advances in Mathematics, 2013 24 pages, no ...
Della Sala, Giuseppe, Perez, Joe
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A Berezin-type map and a class of weighted composition operators
Concrete Operators, 2017 In this paper we consider the map L defined on the Bergman space La2(+)$L_a^2({{\rm\mathbb{C}}_{\rm{ + }}})$ of the right half plane ℂ+ by (Lf)(w)=πM′(w)∫+(fM′)(s)|bw(s)|2dA˜(s)$(Lf)(w) = \pi M'(w)\int\limits_{{{\rm\mathbb{C}}_{\rm{ + }}}} {\left( {{f \
Das Namita
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