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
Blending Type Approximation by GBS Operators of Generalized Bernstein–Durrmeyer Type
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DOI: 10.1007/s00025-018-0773-1
Abstract: In this article we study an extension of the bivariate generalized Bernstein–Durrmeyer operators based on a non-negative real parameter. For these operators we get a Voronovskaja type theorem, the order of approximation using Peetre’s K-functional… read more here.
Keywords: operators generalized; durrmeyer type; approximation; generalized bernstein ... See more keywords
Dynamics of the Volterra-Type Integral and Differentiation Operators on Generalized Fock Spaces
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DOI: 10.1007/s00025-019-1123-7
Abstract: AbstractVarious dynamical properties of the differentiation and Volterra-type integral operators on generalized Fock spaces are studied. We show that the differentiation operator is always supercyclic on these spaces. We further characterize when it is hypercyclic,… read more here.
Keywords: operators generalized; type integral; generalized fock; differentiation ... See more keywords
Multilinear commutators of multilinear strongly singular integral operators with generalized kernels
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DOI: 10.1515/gmj-2023-2036
Abstract: Abstract In [S. Yang and Y. Lin, Multilinear strongly singular integral operators with generalized kernels and applications, AIMS Math. 6 2021, 12, 13533–13551], the authors of the present paper further weaken the smoothness condition of… read more here.
Keywords: strongly singular; operators generalized; singular integral; generalized kernels ... See more keywords