## Abstract The boundedness of singular convolution operators __f__ ↦ __k__ ∗︁ __f__ is studied on Besov spaces of vector‐valued functions, the kernel __k__ taking values in ℒ︁(__X__ , __Y__ ). The main result is a Hörmander‐type theorem giving sufficient conditions for the boundedness of such an
Singular Integral Operators on Besov Spaces
✍ Scribed by Kǒzǒ Yabuta
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 597 KB
- Volume
- 136
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
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 application to pseudodifferential operators is given.
📜 SIMILAR VOLUMES
## Abstract This paper is devoted to the study on the __L^p^__ ‐mapping properties for certain singular integral operators with rough kernels and related Littlewood–Paley functions along “polynomial curves” on product spaces ℝ^__m__^ × ℝ^__n__^ (__m__ ≥ 2, __n__ ≥ 2). By means of the method of bl
## Abstract The paper is devoted to an application of a general local method of studying the Fredholmness of nonlocal bounded linear operators to Banach algebras of singular integral operators with piecewise continuous coefficients and discrete subexponential groups of piecewise smooth shifts actin
## Abstract We study the following two integral operators equation image where __g__ is an analytic function on the open unit disk in the complex plane. The boundedness and compactness of these two operators between the __α__ ‐Bloch space __B^α^__ and the Besov space are discussed in this paper (