Composition Operators on Generalized Fock Spaces of Slice Hyperholomorphic Functions
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DOI: 10.1007/s00006-020-1041-5
Abstract: In this paper, we study composition operators on generalized Fock spaces of slice hyperholomorphic functions. More precisely, some relationship for composition operators between the slice hyperholomorphic setting and the classical setting is explored to characterize… read more here.
Keywords: operators generalized; generalized fock; slice hyperholomorphic; fock spaces ... See more keywords
Spectra of Weighted Composition Operators on Analytic Function Spaces
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DOI: 10.1007/s00009-019-1465-0
Abstract: Let E be a complex Banach space with open unit ball $$B_E.$$BE. For analytic self-maps $$\varphi $$φ of $$B_E$$BE with $$\varphi (0) =0,$$φ(0)=0, we investigate the spectra of weighted composition operators $$uC_\varphi $$uCφ acting on… read more here.
Keywords: weighted composition; analytic function; operators analytic; spectra weighted ... See more keywords
Linear Fractional Composition Operators Over the Half-Plane
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DOI: 10.1007/s00020-018-2450-x
Abstract: In the setting of the Hardy spaces or the standard weighted Bergman spaces over the unit ball in $${\mathbf {C}}^n$$Cn, linear fractional composition operators are known to behave quite rigidly in the sense that they… read more here.
Keywords: half plane; fractional composition; composition operators; linear fractional ... See more keywords
Semigroups of Composition Operators in Analytic Morrey Spaces
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DOI: 10.1007/s00020-020-2568-5
Abstract: Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit disc. We consider semigroups… read more here.
Keywords: morrey spaces; operators analytic; analytic morrey; composition operators ... See more keywords
Co-Isometric Weighted Composition Operators on Hilbert Spaces of Analytic Functions
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DOI: 10.1007/s00025-020-01253-w
Abstract: We obtain a necessary and sufficient condition for a weighted composition operator to be co-isometric on a general weighted Hardy space of analytic functions in the unit disk whose reproducing kernel has the usual natural… read more here.
Keywords: weighted composition; analytic functions; isometric weighted; operators hilbert ... See more keywords
Essential spectra of weighted composition operators induced by elliptic automorphisms
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DOI: 10.1007/s00209-021-02880-x
Abstract: The spectrum of a weighted composition operator $C_{\psi, \varphi}$ who is induced by an automorphism has been investigated for over fifty years. However, many results are got only under the condition that the weight function… read more here.
Keywords: essential spectra; weighted composition; spectra weighted; composition operators ... See more keywords
Asymptotic Tu-Toeplitzness of weighted composition operators on H2
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DOI: 10.1007/s11425-017-9110-7
Abstract: Given a unilateral forward shift S acting on a complex, separable, innite dimensional Hilbert space H, an asymptotically S-Toeplitz operator is a bounded linear operator T on H satisfying that {S*nTSn} is convergent with respect… read more here.
Keywords: toeplitzness weighted; weighted composition; asymptotic toeplitzness; composition operators ... See more keywords
Differences of Composition Operators on Bloch Type Spaces
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DOI: 10.1007/s11785-016-0595-7
Abstract: In this paper, we study the boundedness, compactness and essential norm of differences of composition operators $$C_{\varphi }-C_{\psi }$$Cφ-Cψ on Bloch type spaces. In particular, we use the Bloch type norm of $$\varphi ^n-\psi ^n$$φn-ψn… read more here.
Keywords: operators bloch; bloch type; type spaces; differences composition ... See more keywords
On Order Bounded Difference of Weighted Composition Operators Between Hardy Spaces
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DOI: 10.1007/s11785-018-0811-8
Abstract: So far no complete characterization of compact difference of composition operators between Hardy spaces exists. Motivated by the fact that order-bounded composition operators are also helpful in describing compact composition operators on Hardy spaces, see… read more here.
Keywords: difference; operators hardy; order bounded; composition ... See more keywords
Complex Symmetry of Invertible Composition Operators on Weighted Bergman Spaces
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DOI: 10.1007/s11785-020-01016-z
Abstract: In this article, we study the complex symmetry of composition operators $$C_{\phi }f=f\circ \phi $$ induced on the weighted Bergman spaces $$A^2_{\beta }(\mathbb {D}),$$ by analytic self-maps of the unit disk. One of our main… read more here.
Keywords: bergman spaces; complex symmetry; composition operators; phi ... See more keywords
Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces
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DOI: 10.1007/s13324-022-00651-3
Abstract: In the paper, we investigate weighted composition operators on Bergman spaces of a half-plane. We characterize weighted composition operators which are hermitian and those which are complex symmetric with respect to a family of conjugations.… read more here.
Keywords: composition operators; complex symmetric; bergman spaces; weighted composition ... See more keywords