## 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
One-sided operators in Lp (x) spaces
β Scribed by David E. Edmunds; Vakhtang Kokilashvili; Alexander Meskhi
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 236 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
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)
π SIMILAR VOLUMES
## Abstract We present bounded positivity preserving operators from __L__~__p__~(β) to __L__~__q__~ (__β__), for 1 < __p__ < β, 1/pβ1/q < 1/2, which are not integral operators.
We analyze canonical operator space structures on the non-commutative L p spaces L p ' (M; ., |) constructed by interpolation a la Stein Weiss based on two normal semifinite faithful weights ., | on a W\*-algebra M. We show that there is only one canonical (i.e. arising by interpolation) operator sp