The A-integral and Calderon-Zygmund operators
It is known that the function obtained by the action of the Calderon-Zygmund operator on a Lebesgue integrable function can be non-Lebesgue integrable. In this paper, we prove that the function obtained by the action of the Calderon-Zygmund operator on a Lebesgue integrable function is A-integrable and derive an analogue of the Riesz equality.
Authors
- Aynur Huseynli
Publication Details
- Journal
- Baku Mathematical Journal
- Published
- 2024-09-30
- DOI
- https://doi.org/10.32010/j.bmj.2024.16
- Citations
- 1
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.97