Almost Everywhere Convergence of the inverse Jacobi Transform and Endpoint Results for a Disc Multiplier

Details Almost Everywhere Convergence of the inverse Jacobi Transform and Endpoint Results for a Disc Multiplier Almost Everywhere Convergence of the inverse Jacobi Transform and Endpoint Results for a Disc Multiplier

2011-01-03

arxiv.org/abs/1101.0478v2

Mathematics

Classical Analysis and ODEs

28 pages, 1 figure. Shorter introduction, minor typos fixed. To appear in Studia Mathematica

Scientific paper

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.

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