Quantifying democracy of wavelet bases in Lorentz spaces
The \(h_l\) and \(h_r\), democracy functions of admissible wavelet bases for Lorentz spaces \(L^{p,q}(\mathbb R^d)\), \(1<p<\infty\), \(1\leq q < \infty\) are computed in this paper. The authors show that \[ h_l(N)=N^{1/\max{p,q}}, \qquad h_l(N)=N^{1/\min{p,q}}. \] This result is used to give sharp inclusions for the approximation spaces in terms of discrete Lorentz sequence spaces.
scientific article; zbMATH DE number 5851419