Results 21 to 30 of about 1,085 (195)

WEIGHTED HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES [PDF]

Journal of the Korean Mathematical Society, 2005
Given a positive integer \(n\), let \({\mathbb H}={\mathbb R}^{n-1}\times {\mathbb R}_+\) be the upper half-space where \({\mathbb R}_+\) denotes the set of all positive real numbers.
Koo, Hyungwoon, Nam, Kyesook, Yi, HeungSu   +2 more
openaire   +1 more source

Canonical isometry on weighted Bergman spaces [PDF]

Pacific Journal of Mathematics, 1989
Let u be an absolutely continuous measure on a domain \(D\subset \mathbb{C}^ N\) with a strictly positive continuous Radon-Nikodym derivative with respect to the Lebesgue measure. Let \(G(u)\) be the group of biholomorphic automorphisms \(\varphi\) of \(D\) which leave u invariant modulo holomorphic change of gauge (i.e.
openaire   +2 more sources

Compact differences of weighted composition operators on the weighted Bergman spaces

Journal of Inequalities and Applications, 2017
In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which ...
Maocai Wang, Xingxing Yao, Fen Chen
doaj   +1 more source

Toeplitz Operators on Fock Space over ${\mathbb{C}}^{\mathit{n}}$ with Invariant Symbols under the Action of the Unit Circle

Axioms, 2023
The first goal of this paper is to find a representation of the Fock space on Cn in terms of the weighted Bergman spaces of the projective spaces CPn−1; i.e., every function in the Fock space can be written as a direct sum of elements in weighted Bergman
Carlos González-Flores, Luis Alfredo Dupont-García, Raquiel Rufino López-Martínez, Francisco Gabriel Hérnandez-Zamora   +3 more
doaj   +1 more source

Equivalent Bergman Spaces with Inequivalent Weights [PDF]

The Journal of Geometric Analysis, 2018
We give a proof that every space of weighted square-integrable holomorphic functions admits an equivalent weight whose Bergman kernel has zeroes. Here the weights are equivalent in the sense that they determine the same space of holomorphic functions.
openaire   +2 more sources

A Core Head, Neck, and Neuroanatomy Syllabus for Physical Therapy Student Education

Clinical Anatomy, EarlyView.
ABSTRACT Head, neck, and neuroanatomy are essential components of physical therapy education due to their broad clinical applications. Detailed syllabi exist for medical students, yet none have been developed for physical therapy. This study aimed to produce an International Federation of Associations of Anatomists core head, neck, and neuroanatomy ...
Stephanie J. Woodley, Brooke Willoughby, Alexandra L. Webb, Natasha A. M. S. Flack, Laura Y. Whitburn   +4 more
wiley   +1 more source

The Zero Product of Toeplitz Operators on the 2-Analytic Weighted Bergman Space

Journal of Function Spaces
Two-analytic weighted Bergman space is a nonanalytic function space which is closely related to analytic functions. In this paper, we mainly discuss the zero product problem for Toeplitz operators on the 2-analytic weighted Bergman space.
Xia Wang, Yanyue Shi, Bo Zhang, Changguo Wei   +3 more
doaj   +1 more source

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
doaj   +1 more source

Essential Norms of Stević–Sharma Operators from General Banach Spaces into Zygmund-Type Spaces

Journal of Mathematics, 2022
A Stević–Sharma operator denoted by Tψ1,ψ2,φ is a generalization product of multiplication, differentiation, and composition operators. Using several restrictive terms, we characterize an approximation of the essential norm of the Stević–Sharma operator ...
M. A. Bakhit
doaj   +1 more source

Generalized Weighted Composition Operators on Weighted Bergman Spaces [PDF]

Numerical Functional Analysis and Optimization, 2009
Summary: The boundedness, compactness, essential norm, Hilbert-Schmidt class and order boundedness of generalized weighted composition operators on weighted Bergman spaces are investigated in this paper. For Part I, see [\textit{X. Zhu}, Numer. Funct. Anal. Optim. 30, No. 7--8, 881--893 (2009; Zbl 1183.47030)].
openaire   +2 more sources