406 research outputs found
Spectra of some invertible weighted composition operators on Hardy and weighted Bergman spaces in the unit ball
In this paper, we investigate the spectra of invertible weighted composition
operators with automorphism symbols, on Hardy space and
weighted Bergman spaces , where is the
unit ball of the -dimensional complex space. By taking ,
the unit disc, we also complete the discussion about
the spectrum of a weighted composition operator when it is invertible on
or .Comment: 23 Page
Riemann-Stieltjes operators and multipliers on spaces in the unit ball of
This paper is devoted to characterizing the Riemann-Stieltjes operators and
pointwise multipliers acting on Mbius invariant spaces ,
which unify BMOA and Bloch space in the scale of . The boundedness and
compactness of these operators on spaces are determined by means of an
embedding theorem, i.e. spaces boundedly embedded in the non-isotropic
tent type spaces .Comment: 16 page
Weighted composition operators between different Fock spaces
We study weighted composition operators acting between Fock spaces. The
following results are obtained: (1) Criteria for the boundedness and
compactness; (2) Characterizations of compact differences and essential norm;
(3) Complete descriptions of path connected components and isolated points of
the space of composition operators and the space of nonzero weighted
composition operators
Spectra of weighted algebras of holomorphic functions
We consider weighted algebras of holomorphic functions on a Banach space. We
determine conditions on a family of weights that assure that the corresponding
weighted space is an algebra or has polynomial Schauder decompositions. We
study the spectra of weighted algebras and endow them with an analytic
structure. We also deal with composition operators and algebra homomorphisms,
in particular to investigate how their induced mappings act on the analytic
structure of the spectrum. Moreover, a Banach-Stone type question is addressed.Comment: 25 pages Corrected typo
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