| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4618407 | Journal of Mathematical Analysis and Applications | 2011 | 20 Pages |
Abstract
A generalization of Marcinkiewicz-summability of multi-dimensional Fourier transforms and Fourier series is investigated with the help of a continuous function θ. Under some weak conditions on θ we show that the maximal operator of the Marcinkiewicz-θ-means of a tempered distribution is bounded from Hp(Xd) to Lp(Xd) for all d/(d+α)
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
