Remark on the characterization of weighted Besov spaces via temperatures (Q1894990)

The aim of this paper is to complete the characterization of the weighted homogeneous Besov spaces by means of solutions of the heat equation on \(\mathbb{R}_+^{n+1}\), which was initiated by the author's paper [J. Funct. Anal. 55, 39-62 (1984; Zbl 0638.46029)]. Namely, the author gives a new down estimation for the Besov norm of the elements from the space \(\dot B^{s,w}_{p,q}\).