Results 41 to 50 of about 451,582 (212)
The Bergman kernels of generalized Bergman–Hartogs domains
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hao, Yihong, Wang, An
openaire +2 more sources
Estimates of the Bergman kernel on a hyperbolic Riemann surface of finite volume-II [PDF]
, 2018 In this article, we derive off-diagonal estimates of the Bergman kernel associated to the tensor-powers of the cotangent bundle defined on a hyperbolic Riemann surface of finite volume, when the distance between the points is less than injectivity radius.
Anilatmaja Aryasomayajula +1 more
semanticscholar +1 more source
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
openaire +3 more sources
Comparison of the Bergman kernel and the Carathéodory–Eisenman volume [PDF]
Proceedings of the American Mathematical Society, 2018 It is proved that for any domain in C n \mathbb {C}^n the Carathéodory–Eisenman volume is comparable with the volume of the indicatrix of the Carathéodory metric up to small/large constants depending only on n . n.
N. Nikolov, P. Thomas
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
A note on L2-boundary integrals of the Bergman kernel [PDF]
International Journal of Mathematics, 2018 In this paper, we obtain some estimates on the [Formula: see text]-boundary norm of the Bergman kernel for pseudoconvex domains admitting a plurisubharmonic defining function.
Phung Trong Thuc
semanticscholar +1 more source
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
doaj +1 more source
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
core +1 more source
On the weighted L2 estimate for the k-Cauchy–Fueter operator and the weighted k-Bergman kernel [PDF]
, 2017 The k -Cauchy–Fueter operators, k = 0 , 1 , … , are quaternionic counterparts of the Cauchy–Riemann operator in the theory of several complex variables. The weighted L 2 method to solve Cauchy–Riemann equation is applied to find the canonical solution to
Wei Wang
semanticscholar +1 more source