On the Rate of a.e. Convergence of Certain Classic Integral Means
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.
Spring Central Sectional Meeting of the American Mathematical Society (AMS)
Stokolos, Alexander M..
"On the Rate of a.e. Convergence of Certain Classic Integral Means."
Mathematical Sciences Faculty Presentations.