Hölder Inequalities and Sharp Embeddings in Function Spaces of $B^s_{pq}$ and $F^s_{pq}$ Type | Zendy

Winfried Sickel | Zendy; Hans Triebel | Zendy

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Hölder Inequalities and Sharp Embeddings in Function Spaces of $B^s_{pq}$ and $F^s_{pq}$ Type

Author(s) -

Winfried Sickel,

Hans Triebel

Publication year - 1995

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/666

Subject(s) - inequality , mathematics , type (biology) , pure mathematics , function (biology) , mathematical analysis , geology , biology , paleontology , evolutionary biology

where in that special case c = 1 may be chosen. With exception of Subsection 1.2, all spaces in this paper are defined on R . This justifies to omit R in the sequel. One of the main aims of the paper is to study the appropriate counterparts of (1.1.1) and (1.1.2) for the spaces B pq and F s pq . That means for a given smoothness s we are looking for B p1q1 B s p2q2 ⊂ B pq (1.1.4) 1991 Mathematics Subject Classification: 46E35.

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