Z t i b r h r . /. math. h p i k und G'rutdlagtn d . . M a . l i d . ZI, s. 3 7 7 -378 (1975) A NOTE Oh' THE COMPACTNESS THEOREM by R. R. ROCKINGHAM GILL in Lampeter, Wales (Great Britain) # 3. In conclusion, let us remark that, if wc read " a filtcbr" for " a n ultrafilter" and "HORN sentence" for
A Note on the Carleson-Hunt Theorem
✍ Scribed by M. Trinidad Menárguez
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 342 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We present a characterization of the almost everywhere convergence of the partial Fourier series of functions in L^p^(T), 1 < p < ∞, in terms of a discrete weak‐type inequality.
📜 SIMILAR VOLUMES
## Abstract Let __T__ be an extension of Robinson's arithmetic Q. Then __T__ is incomplete even if the set of the Gödel numbers of all axioms of __T__ is ∑~2~.
If T or T \* is log-hyponormal then for every f g H T , Weyl's theorem holds Ž . Ž Ž .. for f T , where H T denotes the set of all analytic functions on an open Ž . neighborhood of T . Moreover, if T \* is p-hyponormal or log-hyponormal or Ž Ž .. Ž . M-hyponormal then for every f g H T , a-Weyl's t
Theorem 1. For any integers r, d>1 there exists an integer T=T(d, r), such that given sets A 1 , ..., A d+1 /R d in general position, consisting of T points each, one can find disjoint (d+1)-point sets S 1 , ..., S r such that each S i contains exactly one point of each A j , j=1, 2, ..., d+1, and t