General monotonicity, interpolation of operators, and applications
Classical Analysis and ODEs
2014-10-28 v1
Abstract
We continue the work of S. Tikhonov, E. Liflyand, B. Booton, and others, proving the equivalence of L(p,q)-norms of general monotone functions and of their Fourier transforms. The main tool in this work is the interpolation properties of cones of general monotone functions in L(p,q)-norms.
Keywords
Cite
@article{arxiv.1410.6846,
title = {General monotonicity, interpolation of operators, and applications},
author = {S. M. Grigoriev and Y. Sagher and T. R. Savage},
journal= {arXiv preprint arXiv:1410.6846},
year = {2014}
}
Comments
27 pages