Mathematical Sciences: Faculty Presentations (1991-2022)

On the Rate of a.e. Convergence of Certain Classic Integral Means

Document Type

Presentation

Presentation Date

3-30-2012

Copyright

This work is archived and distributed under the repository's Standard Copyright and Reuse License (opens in new tab). End users may copy, store, and distribute this work without restriction. For all other uses, permission must be obtained from the copyright owners or their authorized agents.

Abstract or Description

We are going to present a nearly optimal results concerning the rate of almost everywhere convergence of the integral means defined in terms of the Fourier integrals multipliers. A typical result for these means is the following: If the function f belongs to the Besov space Bsp,p, 1 < p < ∞, 0 < s < 1, then Ttf(x) − f(x) = ox(ts) a.e. as t → 0+. This is a joint work with Walter Trebels.

Sponsorship/Conference/Institution

Spring Central Sectional Meeting of the American Mathematical Society (AMS)

Location

Lawrence, KS

Link to Full Text

Share

COinS