Fixed points of some nonlinear operators in spaces of multifunctions and the Ulam stability
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DOI: 10.1007/s11784-017-0441-1
Abstract: We prove a fixed point theorem for nonlinear operators, acting on some function spaces (of set-valued maps), which satisfy suitable inclusions. We also show some applications of it in the Ulam type stability. read more here.
Keywords: spaces multifunctions; nonlinear operators; operators spaces; fixed points ... See more keywords
Compact-type weighted composition operators between $$L^p$$-spaces
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DOI: 10.1007/s43037-020-00068-9
Abstract: We completely characterize compact weighted composition operators between $$L^p$$-spaces. The relations among compactness, completely continuity, weakly compactness and M-weakly compactness of these operators are also investigated. read more here.
Keywords: weighted composition; compact type; type weighted; composition operators ... See more keywords
Volterra type operators on Sp(D) spaces
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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
Difference of composition operators on spaces of vector-valued holomorphic functions
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DOI: 10.1016/j.jmaa.2021.125568
Abstract: Abstract In this paper, we completely characterize the boundedness of difference of weighted composition operators between weak and strong vector-valued Bergman spaces in three terms: one is a function theoretic characterization of Julia-Caratheodory type, the… read more here.
Keywords: composition operators; vector valued; difference composition; operators spaces ... See more keywords
Multidimensional sampling-Kantorovich operators in BV-spaces
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DOI: 10.1515/math-2022-0573
Abstract: Abstract The main purpose of this article is to prove a result of convergence in variation for a family of multidimensional sampling-Kantorovich operators in the case of averaged-type kernels. The setting in which we work… read more here.
Keywords: multidimensional sampling; sampling kantorovich; operators spaces; kantorovich operators ... See more keywords