Results 31 to 40 of about 18,079 (220)
Semicontinuity of the Automorphism Groups of Domains with Rough Boundary
International Journal of Mathematics and Mathematical Sciences, 2012 Based on some ideas of Greene and Krantz, we study the semicontinuity of automorphism groups of domains in one and several complex variables. We show that semicontinuity fails for domains in , , with Lipschitz boundary, but it holds for domains in with ...
Steven G. Krantz
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Comparison of the Bergman and Szegö kernels
Advances in Mathematics, 2011 15 ...
Chen, Bo-Yong, Fu, Siqi
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On some spaces of holomorphic functions of exponential growth on a half-plane
Concrete Operators, 2016 In this paper we study spaces of holomorphic functions on the right half-plane R, that we denote by Mpω, whose growth conditions are given in terms of a translation invariant measure ω on the closed half-plane R.
Peloso Marco M., Salvatori Maura
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Comptes Rendus. Mathématique, 2014 It is known that the Bergman kernel associated with Lk, where L is positive line bundle over a complex compact manifold, has an asymptotic expansion. We give an elementary proof of the fact that the subprincipal term of this expansion is the scalar curvature.
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Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3
Abstract and Applied Analysis, 2018 Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)
Sanghyun Cho
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New Poisson–Sch type inequalities and their applications in quantum calculus
Journal of Inequalities and Applications, 2018 The Poisson type inequalities, which were improved by Shu, Chen, and Vargas-De-Teón (J. Inequal. Appl. 2017:114, 2017), are generalized by using Poisson identities involving modified Poisson kernel functions with respect to a cone. New generalizations of
Tao Liu, Xinjuan Chen, Yifan Xing
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Weighted Bergman Kernels on Orbifolds
Journal of Differential Geometry, 2011 We describe a notion of ampleness for line bundles on orbifolds with cyclic quotient singularities that is related to embeddings in weighted projective space, and prove a global asymptotic expansion for a weighted Bergman kernel associated to such a line bundle.
Ross, Julius, Thomas, Richard
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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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The Bergman kernel on monomial polyhedra. [PDF]
Michigan Mathematical Journal, 1999 By a monomial polyhedron in \(\mathbb{C}^n\) the author means a finite intersection of elementary Reinhardt domains of the form \(\{z\in\mathbb{C}^n:|z^\alpha|
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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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