Topological Structures of Generalized Volterra-Type Integral Operators
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DOI: 10.1007/s00009-018-1080-5
Abstract: We study the generalized Volterra-type integral and composition operators acting on the classical Fock spaces. We first characterize various properties of the operators in terms of growth and integrability conditions which are simpler to apply… read more here.
Keywords: structures generalized; type integral; generalized volterra; integral operators ... 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
Volterra type operators on Sp(D) spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.01.038
Abstract: Abstract Cuckovic and Paudyal characterized the lattice of invariant subspaces of the operator T in the Hardy–Hilbert space H 2 ( D ) , where they studied the special case (when p = 2 )… read more here.
Keywords: type; operators spaces; type operators; volterra type ... See more keywords
Reconstruction of the Volterra-type integro-differential operator from nodal points
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DOI: 10.1186/s13661-018-0968-0
Abstract: In this work, the Sturm–Liouville problem perturbated by a Volterra-type integro-differential operator is studied. We give a uniqueness theorem and an algorithm to reconstruct the potential of the problem from nodal points (zeros of eigenfunctions). read more here.
Keywords: differential operator; integro differential; type integro; volterra type ... See more keywords