Results 11 to 20 of about 10,386,040 (275)
Holomorphic function spaces on the Hartogs triangle [PDF]
Mathematische Nachrichten, 2019 The definition of classical holomorphic function spaces such as the Hardy space or the Dirichlet space on the Hartogs triangle is not canonical. In this paper we introduce a natural family of holomorphic function spaces on the Hartogs triangle which ...
A. Monguzzi
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Leafwise holomorphic functions [PDF]
Proceedings of the American Mathematical Society, 2003 It is a well-known and elementary fact that a holomorphic function on a compact complex manifold is necessarily constant. The purpose of the present article is to investigate whether, or to what extent, a similar property holds in the setting of holomorphically foliated spaces.
A. Zeghib, Renato Feres
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Certain aspects of holomorphic function theory on some genus-zero arithmetic groups [PDF]
LMS J. Comput. Math., 2015 There are a number of fundamental results in the study of holomorphic function theory associated to the discrete group PSL(2,Z) including the following statements: The ring of holomorphic modular forms is generated by the holomorphic Eisenstein series of
J. Jorgenson, L. Smajlović, H. Then
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Majorization Results for Certain Subfamilies of Analytic Functions
Journal of Function Spaces, 2021 Let h1z and h2z be two nonvanishing holomorphic functions in the open unit disc with h10=h20=1. For some holomorphic function qz, we consider the class consisting of normalized holomorphic functions f whose ratios fz/zqz and qz are subordinate to h1z and
Muhammad Arif +4 more
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Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
Journal of High Energy Physics, 2021 Recently, Okuyama and Sakai proposed a novel holomorphic anomaly equation for the partition function of 2d Yang-Mills theory on a torus, based on an anholomorphic deformation of the propagator in the bosonic formulation.
Min-xin Huang
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Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Inequalities Involving Essential Norm Estimates of Product-Type Operators
Journal of Mathematics, 2021 Consider an open unit disk D=z∈ℂ ...
Manisha Devi, Ajay K. Sharma, Kuldip Raj
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Geometric properties of holomorphic functions involving generalized distribution with bell number
AIMS Mathematics, 2023 One of the statistical tools used in geometric function theory is the generalized distribution which has recently gained popularity due to its use in solving practical issues.
S. Santhiya , K. Thilagavathi
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Duality of holomorphic function spaces and smoothing properties of the Bergman projection [PDF]
, 2011 Let Ω ⊂⊂ Cn be a domain with smooth boundary, whose Bergman projection B maps the Sobolev space Hk1(Ω) (continuously) into Hk2(Ω). We establish two smoothing results: (i) the full Sobolev norm ‖Bf‖k2 is controlled by L2 derivatives of f taken along a ...
A. Herbig, J. McNeal, E. Straube
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Integral holomorphic functions [PDF]
Studia Mathematica, 2004 Given a complex Banach space \(E\) with open unit ball \(B_E^\circ\), the authors call a function \(f: B_E^\circ\to {\mathbb C}\) integral if there exists a regular Borel measure \(\mu\) on the closed unit ball of \(E'\), \(B_{E'}\), endowed with the weak\(^*\) topology, such that \[ f(z)=\int_{B_{E'}}{1\over 1-\phi(z)}d\mu(\phi) \] for all \(z\) in ...
Ignacio Zalduendo +3 more
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