The properties of L 2 -approximable sequences established here form a complete toolkit for statistical results concerning weighted sums of random variables, where the weights are nonstochastic sequences approximated in some sense by squareintegrable functions and the random variables are "two-wing"
Equidistributed random variables in Lp, q
โ Scribed by N.L. Carothers; S.J. Dilworth
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 624 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We give conditions for the convergence of approximate identities, both pointwise and in norm, in variable __L__ ^__p__^ spaces. We unify and extend results due to Diening [8], Samko [18] and Sharapudinov [19]. As applications, we give criteria for smooth functions to be dense in the va
## Abstract We prove that every unconditional basis of __l__~__p__~โ__l__~__q__~ (0 < __p__ < __q__ < 1) is a disjoint union of two subsequences which span subspaces isomorphic to __l__~__p__~ and __l__~__q__~ respectively. This is an extension of a similar result of EDELSTEIN and WOJTASZCZYK [3] f