JournalszaaVol. 14, No. 1pp. 105–140

Hölder Inequalities and Sharp Embeddings in Function Spaces of BpqsB^s_{pq} and FpqsF^s_{pq} Type

  • Winfried Sickel

    Friedrich-Schiller-Universität Jena, Germany
  • Hans Triebel

    Friedrich-Schiller-Universität Jena, Germany
Hölder Inequalities and Sharp Embeddings in Function Spaces of $B^s_{pq}$ and $F^s_{pq}$ Type cover
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Abstract

Besides assertions on sharp embeddings of BpqsB^s_{pq} and FpqsF^s_{pq} we give necessary and sufficient conditions on the parameters s,p,q,p1,q1,p2,q2s,p,q,p_1,q_1,p_2,q_2 for the Hölder type inequalities fgBpqscfBp1q1sgBp2q2s\| f \cdot g | B^s_{pq} \| ≤ c \| f | B^s_{p_1q_1} \| \| g | B^s_{p_2q_2} and fgFpqscfFp1q1sgFp2q2s\| f \cdot g | F^s_{pq} \| ≤ c \| f | F^s_{p_1q_1} \| \| g | F^s_{p_2q_2} to hold.

Cite this article

Winfried Sickel, Hans Triebel, Hölder Inequalities and Sharp Embeddings in Function Spaces of BpqsB^s_{pq} and FpqsF^s_{pq} Type. Z. Anal. Anwend. 14 (1995), no. 1, pp. 105–140

DOI 10.4171/ZAA/666