#### Title

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

#### Document Type

Presentation

#### Publication Date

3-30-2012

#### Abstract

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

#### Recommended Citation

Stokolos, Alexander M..
2012.
"On the Rate of a.e. Convergence of Certain Classic Integral Means."
*Mathematical Sciences Faculty Presentations*.
Presentation 472.

https://digitalcommons.georgiasouthern.edu/math-sci-facpres/472