Classes of Generalized Functions with Finite Type Regularities

DOI10.1007/978-3-0348-0585-8_17zbMath1275.46026arXiv1012.1096OpenAlexW1512536265MaRDI QIDQ4914480

Jasson Vindas, Stevan Pilipović, Dimitris Scarpalézos

Publication date: 12 April 2013

Published in: Pseudo-Differential Operators, Generalized Functions and Asymptotics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1096

zbMATH Keywords

Sobolev spacesHölder continuityZygmund spacesalgebras of generalized functionsregularity of distributions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Operations with distributions and generalized functions (46F10) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (2)

Besov regularity in non-linear generalized functions ⋮ Factorization of second-order strictly hyperbolic operators with logarithmic slow scale coefficients and generalized microlocal approximations

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