Проблемы анализа (Mar 2018)

POINTWISE MULTIPLICATION IN THE REALIZED HOMOGENEOUS BESOV AND TRIEBEL-LIZORKIN SPACES

  • Madani Moussai,
  • Samira Bissar

DOI
https://doi.org/10.15393/j3.art.2018.4170
Journal volume & issue
Vol. 7(25), no. 1
pp. 3 – 22

Abstract

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For either homogeneous Besov spaces B_(s;p,q)(R_n) or homogeneous Triebel-Lizorkin spaces F_(s;p,q)(R_n), with the conditions either s < n/p, or s = n/p and q ≤ 1 in the B_(s;p,q)-case, p ≤ 1 in the F_(s;p,q)-case, we prove some pointwise multiplication assertions in their realized spaces.

Keywords