Isometric operators in vector-valued LP-spaces
β Scribed by A. L. Koldobskii
- Publisher
- Springer US
- Year
- 1987
- Tongue
- English
- Weight
- 305 KB
- Volume
- 36
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
## Abstract It is shown that a Banach space __E__ has type __p__ if and only for some (all) __d__ β₯ 1 the Besov space __B__^(1/__p__ β 1/2)__d__^ ~__p__,__p__~ (β^__d__^ ; __E__) embeds into the space __Ξ³__ (__L__^2^(β^__d__^ ), __E__) of __Ξ³__ βradonifying operators __L__^2^(β^__d__^ ) β __E__. A
## Abstract The present paper introduces a kind of Kantorovich type Shepard operators. Complete results including direct and converse results, equivalence results are established. As Della Vecchia and Mastroianni ([4], [7]) did, our results involve a weighted modulus of smoothness related to stepβf
## Abstract Boundedness of oneβsided maximal functions, singular integrals and potentials is established in __L__(__I__) spaces, where __I__ is an interval in **R**. (Β© 2008 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)