Dergiler / Constructive Mathematical Analysis / 2020 / Cilt: 3 Sayı: 3
The A-Integral and Restricted Riesz Transform
- Sayfa
- 104–112
- DOI
- —
Abstract
It is known that the restricted Riesz transform of a Lebesgue integrable function is not Lebesgue integrable. In this paper we prove that the restricted Riesz transform of a Lebesgue integrable function is A-integrable and the analogue of Riesz's equality holds.ABSTRACT.It is known that the restricted Riesz transform of a Lebesgue integrable function is not Lebesgue inte-grable. In this paper, we prove that the restricted Riesz transform of a Lebesgue integrable function isA-integrableand the analogue of Riesz’s equality holds