Multiplication properties of besov spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1977 English Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata, volume 114, pages 87-102 (issn: 0373-3114, eissn: 1618-1891,

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Authors: Triebel, Hans;

doi: 10.1007/bf02413780

Multiplication properties of besov spaces

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Abstract

The paper deals with the question whether f → gf (pointwise multiplication) is a bounded operator from B p,q s =B p,q s (Rn) into itself. Here B p,q s are the general (non-homogeneous isotropic) Besov spaces; −∞

Keywords

Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, \(L^p\)-spaces and other function spaces on groups, semigroups, etc.

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