On the Rate of a.e. Convergence of Certain Classic Integral Means
Document Type
Presentation
Presentation Date
3-30-2012
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
Recommended Citation
Stokolos, Alexander M..
2012.
"On the Rate of a.e. Convergence of Certain Classic Integral Means."
Department of Mathematical Sciences Faculty Presentations.
Presentation 472.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/472
