Results 21 to 30 of about 3,827,469 (279)

Lipschitz domains, domains with corners and the Hodge Laplacian [PDF]

, 2004
We define self-adjoint extensions of the Hodge Laplacian on Lipschitz domains in Riemannian manifolds, corresponding to either the absolute or the relative boundary condition, and examine regularity properties of these operators' domains and form domains.
Mitrea, Marius, Taylor, Michael, Vasy, Andras   +2 more
core   +3 more sources

A note on the degree of approximation of functions belonging to certain Lipschitz class by almost Riesz means

Studia Universitatis Babeş-Bolyai. Mathematica, 2018
The problem of obtaining degree of approximation for the $2\pi-$periodic functions in the weighted Lipschitz class $W(L^p,\xi(t))~(p\geq 1)$ by Riesz means of the Fourier series have been studied by various investigators under $L^p-$norm.
Uaday Singh, Arti Rathore
semanticscholar   +1 more source

Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators

Axioms, 2019
Approximation and some other basic properties of various linear and nonlinear operators are potentially useful in many different areas of researches in the mathematical, physical, and engineering sciences.
Hari Mohan Srivastava, Gürhan İçöz, Bayram Çekim   +2 more
doaj   +1 more source

GENERALIZATION OF TITCHMARSH’ S THEOREM FOR THE FIRST HANKEL-CLIFFORD TRANSFORM IN THE SPACE 𝑳(^𝑷 _𝝁) ((𝟎, + ∞))

Проблемы анализа, 2022
Using a generalized translation operator, we intend to establish generalizations of the Titchmarsh theorem ( [14], theorem 84) for the first Hankel-Clifford transform for certain classes of functions in the space 𝐿(^𝑝 _𝜇) ((0, + ∞)), where 1 < 𝑝 ⩽ 2.
M. El Hamma, A. Mahfoud
doaj   +1 more source

Fourier transforms of Dini-Lipschitz functions

International Journal of Mathematics and Mathematical Sciences, 1986
It is well known that if Lipschitz conditions of a certain order are imposed on a function f(x), then these conditions affect considerably the absolute convergence of the Fourier series and Fourier transforms of f.
M. S. Younis
doaj   +1 more source

Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces

Analysis and Geometry in Metric Spaces, 2013
The metric Markov cotype of barycentric metric spaces is computed, yielding the first class of metric spaces that are not Banach spaces for which this bi-Lipschitz invariant is understood.
Mendel Manor, Naor Assaf
doaj   +1 more source

Lipschitz stability for generalized ordinary differential equations and impulsive retarded differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
doaj   +1 more source

Functions of perturbed noncommuting self-adjoint operators [PDF]

, 2014
We consider functions $f(A,B)$ of noncommuting self-adjoint operators $A$ and $B$ that can be defined in terms of double operator integrals. We prove that if $f$ belongs to the Besov class $B_{\be,1}^1(\R^2)$, then we have the following Lipschitz type ...
Aleksandrov, Aleksei, Nazarov, Fedor, Peller, Vladimir   +2 more
core   +4 more sources

Lipschitz Bounds and Nonautonomous Integrals [PDF]

Archive for Rational Mechanics and Analysis, 2020
We provide a general approach to Lipschitz regularity of solutions for a large class of vector-valued, nonautonomous variational problems exhibiting nonuniform ellipticity.
Cristiana De Filippis, G. Mingione
semanticscholar   +1 more source

Large scale rank of Teichmuller space [PDF]

, 2014
Let X be quasi-isometric to either the mapping class group equipped with the word metric, or to Teichmuller space equipped with either the Teichmuller metric or the Weil-Petersson metric.
Eskin, Alex, Masur, Howard, Rafi, Kasra
core   +1 more source