Results 71 to 80 of about 673 (167)
Sectio Aurea Conditions for Mityuk's Radius of Two-Connected Domains [PDF]
Connection of an exterior inverse boundary value problem with the critical points of some surface is one of the central themes in the theory of exterior inverse boundary value problems for analytic functions.
A.V. Kazantsev
doaj
New Inequalities and an Integral Expression for the 𝒜‐Berezin Number
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
The Bergman Kernel on Some Hartogs Domains [PDF]
We obtain new explicit formulas for the Bergman kernel function on two families of Hartogs domains. To do so, we first compute the Bergman kernels on the slices of these Hartogs domains with some coordinates fixed, evaluate these kernel functions at certain points off the diagonal, and then apply a first order differential operator to them.
openaire +2 more sources
Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols
A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it. In this paper, we provide a complete description of bounded Toeplitz operators Tf, where the symbol f ...
Aissa Bouhali +3 more
wiley +1 more source
Weak-type regularity for the Bergman projection over N-dimensional classical Hartogs triangles
In this paper, we study the weak-type regularity of the Bergman projection on n-dimensional classical Hartogs triangles. We extend the results of Huo–Wick on the 2-dimensional classical Hartogs triangle to the n-dimensional classical Hartogs triangle and
Yi Li, Mengjiao Wang
doaj +1 more source
Bergman kernels on degenerations
24 pages, some typos ...
Wang, Linsheng, Zhou, Shengxuan
openaire +3 more sources
Geometry of analytic continuation on complex manifolds – history, survey, and report
Beginning with the state of art around 1953, solutions of the Levi problem on complex manifolds will be recalled at first up to Takayama’s result in 1998.
Ohsawa Takeo
doaj +1 more source
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Space of the Unit Ball
There are two aims in this paper. One is to completely characterize complex symmetric and 2-complex symmetric weighted composition operators induced by some special symbols on the weighted Bergman space of the unit ball, and the other is to fully ...
Hui-Ling Jin, Zhi-Jie Jiang
doaj +1 more source
Comparison of the Bergman and Szegö kernels
15 ...
Chen, Bo-Yong, Fu, Siqi
openaire +3 more sources

