In this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector. We obtain a description of sub-Hilbert spaces and we give a sufficient condition so that theses spaces are the same
The dual of the weighted harmonic Bergman space $h^p_\alpha (\mathbb{B})$ is shown to be the harmoni...
AbstractFor a smoothly bounded strictly pseudoconvex domain, we describe the boundary singularity of...
We introduce an integral-type operator, denoted by Pφg, on the space of holomorphic functions on the...
summary:We study sub-Bergman Hilbert spaces in the weighted Bergman space $A^2_\alpha $. We generali...
AbstractIn this paper we analyze sub-Bergman Hilbert spaces in the unit disk associated with finite ...
AbstractFor a finite Blaschke product B let TB denote the analytic multiplication operator (also cal...
ABSTRACT. It was shown in [2] that a holomorphic function f in the unit ball Bn of Cn belongs to the...
We use the theory of Hilbert spaces of analytic functions on bounded symmetric domains in C-N to obt...
Let Bn be the unit ball in Cn. If f is a bounded holomorphic function, we say that f is inner provid...
Let Bn be the unit ball in Cn. If f is a bounded holomorphic function, we say that f is inner provid...
AbstractIn this paper, we study the composition operator CΦ with a smooth but not necessarily holomo...
Let B denote the unit ball in Cⁿ, and ν the normalized Lebesgue measure on B. For α>-1, define dνα(z...
We study expansion of reproducing kernels for Hilbert spaces of holomorphic functions on the unit ba...
We introduce a family of weighted BMO spaces in the Bergman metric on the unit ball of $\Bbb{C}^n$ a...
We introduce a family of weighted BMO spaces in the Bergman metric on the unit ball of $\Bbb{C}^n$ a...
The dual of the weighted harmonic Bergman space $h^p_\alpha (\mathbb{B})$ is shown to be the harmoni...
AbstractFor a smoothly bounded strictly pseudoconvex domain, we describe the boundary singularity of...
We introduce an integral-type operator, denoted by Pφg, on the space of holomorphic functions on the...
summary:We study sub-Bergman Hilbert spaces in the weighted Bergman space $A^2_\alpha $. We generali...
AbstractIn this paper we analyze sub-Bergman Hilbert spaces in the unit disk associated with finite ...
AbstractFor a finite Blaschke product B let TB denote the analytic multiplication operator (also cal...
ABSTRACT. It was shown in [2] that a holomorphic function f in the unit ball Bn of Cn belongs to the...
We use the theory of Hilbert spaces of analytic functions on bounded symmetric domains in C-N to obt...
Let Bn be the unit ball in Cn. If f is a bounded holomorphic function, we say that f is inner provid...
Let Bn be the unit ball in Cn. If f is a bounded holomorphic function, we say that f is inner provid...
AbstractIn this paper, we study the composition operator CΦ with a smooth but not necessarily holomo...
Let B denote the unit ball in Cⁿ, and ν the normalized Lebesgue measure on B. For α>-1, define dνα(z...
We study expansion of reproducing kernels for Hilbert spaces of holomorphic functions on the unit ba...
We introduce a family of weighted BMO spaces in the Bergman metric on the unit ball of $\Bbb{C}^n$ a...
We introduce a family of weighted BMO spaces in the Bergman metric on the unit ball of $\Bbb{C}^n$ a...
The dual of the weighted harmonic Bergman space $h^p_\alpha (\mathbb{B})$ is shown to be the harmoni...
AbstractFor a smoothly bounded strictly pseudoconvex domain, we describe the boundary singularity of...
We introduce an integral-type operator, denoted by Pφg, on the space of holomorphic functions on the...
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