One dimensional singular integral operators on Lp
β Scribed by Kevin F Clancey
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 370 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
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 introduce generalized BESOV spaces in terms of mean oscillation and weight functions, following a recent work of Dorronsoro, hnd study the continuity of singular integral aperators on them. Relationabetween these spaces and the BESOV spaces in terms of modulus of continuity are also studied. An a
## Abstract Necessary and sufficient analytical conditions are determined for a singular integral operator of the form __aP + bQ__ with bounded measurable coefficients to be a Οβoperator on __L__~__p__~(Ξ) for all 1 < __p__ < β. where Ξ is a closed Lyapunov curve.