Semi-continuous convolutions on weakly periodic Lebesgue spaces
Functional Analysis
2018-02-14 v1
Abstract
We deduce mixed quasi-norm estimates of Lebesgue types on semi-continuous convolutions between sequences and functions which may be periodic or possess a weaker form of periodicity in certain directions. In these directions, the Lebesgue quasi-norms are applied on the period instead of the whole axes.
Cite
@article{arxiv.1802.04464,
title = {Semi-continuous convolutions on weakly periodic Lebesgue spaces},
author = {Joachim Toft},
journal= {arXiv preprint arXiv:1802.04464},
year = {2018}
}
Comments
11 Pages. The content overlaps with certain parts of the first version of: J. Toft, Periodicity and the Zak transform on Gelfand-Shilov and modulation spaces, arXiv:1705.10619