It is shown that the maximal operator of the Marcinkiewicz means of a tempered Ž 2 . Ž 2 . distribution is bounded from H R to L R for all pp F ϱ and, consep p 0 Ž . quently, is of weak type 1, 1 , where p -1. As a consequence we obtain a 0 generalization for Fourier transforms of a summability resu
Generalization of a theorem due to kopejkina
✍ Scribed by Graham Kelly
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 52 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0046-5755
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📜 SIMILAR VOLUMES
## Abstract In this paper, we obtain an asymptotic generalization of Turán's theorem. We prove that if all the non‐trivial eigenvalues of a __d__‐regular graph __G__ on __n__ vertices are sufficiently small, then the largest __K__~__t__~‐free subgraph of __G__ contains approximately (__t__ − 2)/(__
Let 9 be the polyhedron given by 9 = {x E R": Nx=O, a~x~b}, where N is a totally unimodular matrix and a and 6 are any integral vectors. For x E R" let (x)' denote the vector obtained from x by changing all its negative components to zeros. Let x1, . . . , xp be the integral points in 9 and let 9+ b
The following theorem is lproved. If the sets VI, . . . , Vn+, CR" and a E fly:: conv Vi, then there exist elements ui E Vi (i = 1, . . . , n + 1) such that a E conv{o,, . . . , un+J. Thii is a generalization of Carathtidory's theorem. By applying this and similar results some open questions are ans