Search

Your search keyword '"ZE-HUA ZHOU"' showing total 8 results
Start Over Author "ZE-HUA ZHOU" Publisher element d.o.o.
8 results on '"ZE-HUA ZHOU"'

2. UNITARY, SELF–ADJOINT AND J −SYMMETRIC WEIGHTED COMPOSITION OPERATORS ON FOCK–SOBOLEV SPACES.

Author

REN-YU CHEN, ZI-CONG YANG, and ZE-HUA ZHOU

Subjects
COMPOSITION operators, UNITARY operators
Abstract

In this paper, we characterize the boundedness and compactness for weighted composition operators on the Fock-Sobolev space F p,m(Cn), 0 < p < ∞. We prove that no nontrivial unitary or self-adjoint weighted composition operators exist on F2,m(Cn) when m ≥ 1. As an application, we also prove that there exist only trivial J -symmetric weighted composition operators on F2,m(Cn) when m ≥ 1. [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
View/download PDF

7. Generalized composition operator from Bloch-type spaces to mixed-norm space on the unit ball

Author

Li Zhang and Ze-Hua Zhou

Subjects
Combinatorics, Unit sphere, Composition operator, Mathematical analysis, Holomorphic function, Interpolation space, Finite-rank operator, Ball (mathematics), Compact operator, Analysis, Mathematics, Bounded operator
Abstract

Let H(B) be the space of all holomorphic functions on the unit ball B in CN , and S(B) the collection of all holomorphic self-maps of B . Let φ ∈ S(B) and g ∈ H(B) with g(0) = 0 , the generalized composition operator is defined by C φ ( f )(z) = ∫ 1 0 R f (φ(tz))g(tz) dt t , Here, we characterize the boundedness and compactness of the generalized composition operator acting from Bloch-type spaces Bω and Bω,0 to mixed-norm space H(p,q,φ) on the unit ball B .

Published
2012

8. Extended Cesáro operators on BMOA spaces in the unit ball

Author

Zhong-Shan Fang and Ze-Hua Zhou

Subjects
Unit sphere, Pure mathematics, Mathematics Subject Classification, Bounded function, Holomorphic function, Analysis, Mathematics
Abstract

Let g be a holomorphic map of B , where B is the unit ball of Cn . This paper gives necessary and sufficient conditions for the extended Cesaro operators induced by g to be bounded or compact on BMOA. Mathematics subject classification (2010): Primary: 47B38; Secondary: 46E15, 32A37..

Published
2010

Catalog

Books, media, physical & digital resources
See catalog results