Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces
Functional Analysis
2012-08-14 v1
Abstract
In this short article we introduce so-called anisotropic (weight) Grand Lebesgue Spaces (more exactly, Grand Lebesgue-Riesz Spaces), which are generalization of the classical Lebesgue-Riesz Spaces and ordinary Grand Lebesgue Spaces, and investigate the boundedness of weight Riesz potential and weight Fourier transforms in this spaces.
Keywords
Cite
@article{arxiv.1208.2392,
title = {Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1208.2392},
year = {2012}
}