Results 11 to 20 of about 1,266,780 (349)
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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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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An existence theory for nonlinear superposition operators of mixed fractional order [PDF]
Communications in Contemporary Mathematics, 2023 We establish the existence of multiple solutions for a nonlinear problem of critical type. The problem considered is fractional in nature, since it is obtained by the superposition of $(s,p)$-fractional Laplacians of different orders.
S. Dipierro +3 more
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Spectral of the nonlinear weighted superposition operator on Fock spaces [PDF]
Advances in Operator TheoryWe follow several approaches in nonlinear spectral theory and determine the various spectral forms for the nonlinear weighted superposition operator on Fock spaces. The results show that most of the forms introduced so far coincide and contain singeltons.
Yonas Eshetu Felke +2 more
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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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An existence theory for superposition operators of mixed order subject to jumping nonlinearities [PDF]
Nonlinearity, 2023 We consider a superposition operator of the form ∫[0,1](−Δ)sudμ(s), for a signed measure µ on the interval of fractional exponents [0,1] , joined to a nonlinearity whose term of homogeneity equal to one is ‘jumping’, i.e.
S. Dipierro +3 more
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On measurability properties connected with the superposition operator .
Real Analysis Exchange, 2003 Let \(F\) be a class of real-valued functions defined on some set \(E\), measurable with respect to a \(\sigma\)-algebra \(S\). A function \(\phi: E\times\mathbb{R}\to \mathbb{R}\) is called to be sup-measurable with respect to \(F\) if for each \(f\in F\) the function \(\phi_f\) defined by \(\phi_f(x)= \phi(x,f(x))\) is \(S\)-measurable.
A. Kharazishvili
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THE SUPERPOSITION OPERATOR FOR VECTOR-VALUED FUNCTIONS ON A NONCOMPACT INTERVAL [PDF]
, 2006 In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a noncompact interval is considered. Acting conditions and criteria of continuity and compactness are established. As an application, an existence
J. Dronka, L. Olszowy
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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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Superposition operator in Sobolev spaces on domains [PDF]
Proceedings of the American Mathematical Society, 2000 For an arbitrary open set Ω ⊂ R n \Omega \subset \mathbb {R}^n we characterize all functions G G on the real line such that G ∘ u ∈ W 1 , p (
D. Labutin
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