Mathematics (Sep 2021)

Wavelets and Real Interpolation of Besov Spaces

  • Zhenzhen Lou,
  • Qixiang Yang,
  • Jianxun He,
  • Kaili He

DOI
https://doi.org/10.3390/math9182235
Journal volume & issue
Vol. 9, no. 18
p. 2235

Abstract

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In view of the importance of Besov space in harmonic analysis, differential equations, and other fields, Jaak Peetre proposed to find a precise description of (Bp0s0,q0,Bp1s1,q1)θ,r. In this paper, we come to consider this problem by wavelets. We apply Meyer wavelets to characterize the real interpolation of homogeneous Besov spaces for the crucial index p and obtain a precise description of (B˙p0s,q,B˙p1s,q)θ,r.

Keywords