Almost Everywhere Convergence of the inverse Jacobi Transform and Endpoint Results for a Disc Multiplier
Classical Analysis and ODEs
2011-07-07 v2
Abstract
We introduce a maximal operator for the natural analogue of the disc multiplier in the framework of Jacobi analysis and determine the mapping properties of said maximal operator, including weak type endpoint results. In particular we obtain sharp information on the almost everywhere convergence of the inverse Jacobi transform.
Keywords
Cite
@article{arxiv.1101.0478,
title = {Almost Everywhere Convergence of the inverse Jacobi Transform and Endpoint Results for a Disc Multiplier},
author = {Troels Roussau Johansen},
journal= {arXiv preprint arXiv:1101.0478},
year = {2011}
}
Comments
28 pages, 1 figure. Shorter introduction, minor typos fixed. To appear in Studia Mathematica