Collectanea mathematica· 2026Q2
Compactness of the bloom sparse operators and applications
- 0citations
- Q2SCImago
- 2026year
Short summary
This paper characterizes the compactness of sparse operators (with symbols in weighted VMO space) on homogeneous type spaces in the two-weight setting.
AI-generated from the title and abstract; the full text is not read.
Key points
- Characterizes compactness for sparse operators in the two-weight setting on homogeneous type spaces.
- Applies this characterization to the commutator of Calderón–Zygmund operators.
- Extends the approach to multi-linear sparse operators.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract We establish the characterization of compactness for the sparse operator (associated with symbol in weighted VMO space) in the two weight setting on the spaces of homogeneous type in the sense of Coifman and Weiss. As an application, we obtain the compactness characterization for the commutator of Calderón–Zygmund operators on the homogeneous spaces. Furthermore, our approach can be applied to proving compactness for sparse operators in the multi-linear setting.
The authors' abstract, as published at the source. Collectanea mathematica, 2026 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Applied Mathematics
Applied MathematicsMathematics