## Abstract Let __X__ be a Banach space. We show that each __m__ : โ \ {0} โ __L__ (__X__ ) satisfying the Mikhlin condition sup~__x__ โ 0~(โ__m__ (__x__ )โ + โ__xm__ โฒ(__x__ )โ) < โ defines a Fourier multiplier on __B__ ^__s__^ ~__p,q__~ (โ; __X__ ) if and only if 1 < __p__ < โ and __X__ is isomorp
A note on different Bradford multipliers
โ Scribed by Egghe, L.
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 473 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0002-8231
No coin nor oath required. For personal study only.
โฆ Synopsis
In this note we show that the multiplier k that appears in the law of Bradford is not the average production of articles per author nor the average number p of articles per journal, contradicting some earlier statements of Goffman and Warren and of Yablonsky. We remark however that the Bradford multiplier might be close to p in a lot of cases, being merely a coincidence of the special functional relation between ~1 and k which we develop in full detail. We finally show that K = kplA (p = number of Bradford groups, A = total numbers of articles) is a universal constant for the bibliography. Furthermore, K is the Bradford multiplier of a group free formulation of Bradford's law, introduced in an earlier article of the author.
๐ SIMILAR VOLUMES
Let D be a (v, k, \*)-difference set in a group G. Assume that G has a normal subgroup N such that GรN is cyclic or nearly cyclic. Under the self-conjugacy assumption on exp(GรN), we shall give bounds on |N| and \*. The theorem is applicable to a wider variety of parameters for groups, not necessari