Results 31 to 40 of about 85,041 (264)

Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces

Journal of Function Spaces, 2017
Let s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.
Hong Rae Cho, Hyunil Choi, Han-Wool Lee
doaj   +1 more source

Sobolev spaces, fine gradients and quasicontinuity on quasiopen sets

, 2015
We study different definitions of Sobolev spaces on quasiopen sets in a complete metric space equipped with a doubling measure supporting a p-Poincar\'e inequality with ...
Björn, Anders, Björn, Jana, Latvala, Visa   +2 more
core   +1 more source

W-Sobolev spaces

Journal of Mathematical Analysis and Applications, 2011
AbstractFix strictly increasing right continuous functions with left limits and periodic increments, Wi:R→R, i=1,…,d, and let W(x)=∑i=1dWi(xi) for x∈Rd. We construct the W-Sobolev spaces, which consist of functions f having weak generalized gradients ∇Wf=(∂W1f,…,∂Wdf).
Alexandre B. Simas, Fábio J. Valentim
openaire   +2 more sources

Sobolev spaces on warped products [PDF]

Journal of Functional Analysis, 2018
Corrected few typos in the previous version and updated the ...
Gigli, Nicola, Han, Bang-Xian
openaire   +4 more sources

Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming

Asian Journal of Control, EarlyView.
Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari, Vivekananda Rayanki, Izhar Ahmad   +2 more
wiley   +1 more source

On the relaxation of variational integrals in metric Sobolev spaces

, 2013
We give an extension of the theory of relaxation of variational integrals in classical Sobolev spaces to the setting of metric Sobolev spaces. More precisely, we establish a general framework to deal with the problem of finding an integral representation
Hafsa, Omar Anza, Mandallena, Jean-Philippe   +1 more
core   +3 more sources

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Sobolev-Slobodeckij Spaces on Compact Manifolds, Revisited

Mathematics, 2022
In this manuscript, we present a coherent rigorous overview of the main properties of Sobolev-Slobodeckij spaces of sections of vector bundles on compact manifolds; results of this type are scattered through the literature and can be difficult to find. A
Ali Behzadan, Michael Holst
doaj   +1 more source

Multipliers of Sobolev spaces

Journal of Functional Analysis, 1982
AbstractLet Wm,p denote the Sobolev space of functions on Rn whose distributional derivatives of order up to m lie in Lp(Rn) for 1 ⩽ p ⩽ ∞. When 1 < p < ∞, it is known that the multipliers on Wm,p are the same as those on Lp. This result is true for p = 1 only if n = 1.
openaire   +3 more sources

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source