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Composition Operator on Bergman-Orlicz Space
Journal of Inequalities and Applications, 2009 Let denote the open unit disk in the complex plane and let denote the normalized area measure on . For and a twice differentiable, nonconstant, nondecreasing, nonnegative, and convex function on , the Bergman-Orlicz space is defined as ...
Jiang Zhijie, Cao Guangfu
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Hyponormality on a Weighted Bergman Space
Journal of Function Spaces, 2020 A bounded Hilbert space operator T is hyponormal if T∗T−TT∗ is a positive operator. We consider the hyponormality of Toeplitz operators on a weighted Bergman space.
Houcine Sadraoui +3 more
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Stability and integration over Bergman metrics [PDF]
, 2014 We study partition functions of random Bergman metrics, with the actions defined by a class of geometric functionals known as `stability functions'. We introduce a new stability invariant - the critical value of the coupling constant - defined as the ...
Klevtsov, Semyon, Zelditch, Steve
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, 2018 The aim of the present paper is three folds. Firstly, we complete the study of the weighted hyperholomorphic Bergman space of the second kind on the ball of radius $R$ centred at the origin.
Ghanmi, A., Kachkouri, A. El
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Semi-norms of the Bergman projection
, 2015 It is known that the Bergman projection operator maps the space of essentially bounded functions in the unit ball in the d-dimensional complex vector space onto the Bloch space of the unit ball. This paper deals with the various semi-norms of the Bergman
Markovic, Marijan
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\(\alpha\)-parabolic Bergman spaces
, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nishio, Masaharu +2 more
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Finite-rank intermediate Hankel operators on the Bergman space
International Journal of Mathematics and Mathematical Sciences, 2001 Let L2=L2(D,r dr dθ/π) be the Lebesgue space on the open unit disc and let La2=L2∩ℋol(D) be the Bergman space. Let P be the orthogonal projection of L2 onto La2 and let Q be the orthogonal projection onto L¯a,02={g∈L2;g¯∈La2, g(0)=0}. Then I−P≥Q.
Takahiko Nakazi, Tomoko Osawa
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Further properties of the Bergman spaces of slice regular functions
, 2014 In this paper we continue the study of Bergman theory for the class of slice regular functions. In the slice regular setting there are two possibilities to introduce the Bergman spaces, that are called of the first and of the second kind. In this paper
Colombo, Fabrizio +2 more
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Gain of Regularity in Extension Problem on Convex Domains
Journal of Function Spaces, 2015 We investigate the extension problem from higher codimensional linear subvarieties on convex domains of finite type.
M. Jasiczak
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On the dual space of a weighted Bergman space on the unit ball of Cn
International Journal of Mathematics and Mathematical Sciences, 1988 The weighted Bergman space Aαp(Bn ...
J. S. Choa, H. O. Kim
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