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Integral Superposition-Type Operators on Some Analytic Function Spaces [PDF]
Journal of Function Spaces, 2021 All entire functions which transform a class of holomorphic Zygmund-type spaces into weighted analytic Bloch space using the so-called n-generalized superposition operator are characterized in this paper.
A. El-Sayed Ahmed, S. Omran
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Toeplitz-Superposition Operators on Analytic Bloch Spaces [PDF]
Journal of Function Spaces, 2021 The important purpose of this current work is to study a new class of operators, the so-called Toeplitz-superposition operators as an expansion of the weighted known composition operators, induced by such continuous entire functions mapping on bounded specific sets.
M. A. Bakhit +1 more
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Some inequalities and superposition operator in the space of regulated functions [PDF]
Advances in Nonlinear Analysis, 2019 Some inequalities connected to measures of noncompactness in the space of regulated function R(J, E) were proved in the paper. The inequalities are analogous of well known estimations for Hausdorff measure and the space of continuous functions.
Olszowy Leszek, Zając Tomasz
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On some properties of the superposition operator on topological manifolds [PDF]
Opuscula Mathematica, 2010 In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a topological manifold is considered. The acting conditions and criteria of continuity and compactness are established.
Janusz Dronka
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Superposition operators on Dirichlet spaces [PDF]
Tohoku Mathematical Journal, 2004 Let \((\mathcal E, \mathcal D)\) be a strongly local, regular symmetric Dirichlet form. A function \(K\) is said to operate on \(\mathcal D\), if \(K\circ u \in \mathcal D\) for all \(u\in\mathcal D\). By the very definition of Dirichlet forms all normal contractions operate on \(\mathcal D\) and satisfy \(\mathcal E(K\circ u,K\circ u) \leq M^2\cdot ...
P. J. Fitzsimmons
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Uniform continuity and Brézis–Lieb-type splitting for superposition operators in Sobolev space [PDF]
Advances in Nonlinear Analysis, 2018 Using concentration-compactness arguments, we prove a variant of the Brézis–Lieb-Lemma under weaker assumptions on the nonlinearity than known before.
Ackermann Nils
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Bulletin of Mathematical SciencesWe prove the existence of local minimizers for a critical problem involving a superposition operator of mixed fractional order recently introduced in [S. Dipierro, K. Perera, C. Sportelli and E.
Giovanni Molica Bisci +2 more
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Coherent and incoherent superposition of transition matrix elements of the squeezing operator [PDF]
New Journal of Physics, 2022 We discuss the general matrix elements of the squeezing operator between number eigenstates of a harmonic oscillator (which may also represent a quantized mode of the electromagnetic radiation).
Sándor Varró
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Weak convergence of inner superposition operators [PDF]
Proceedings of the American Mathematical Society, 1998 The equivalence of the weak (pointwise) and strong convergence of a sequence of inner superposition operators is proved as well as the criteria for such convergence are provided. Besides, the problems of continuous weak convergence of such operators and of representation of a limit operator are studied.
Mikhail E. Drakhlin, Eugene Stepanov
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Regularizability of superposition of inverse linear operators [PDF]
Journal of Soviet Mathematics, 1992 Let \(L_ 0(X,Y)\) be the linear continuous injective operators; \(X,Y\) are Banach spaces. If \(X\) is separable and \(A\in L_ 0(X,Y)\), then the regularizability of \(A^{-1}\) is equivalent to the subspace \(A^*Y^*\subset X^*\) being norming. This article investigates the problem of determining the triples \((X,Y,Z)\) of infinite-dimensional separable
Mikhail I. Ostrovskii
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