The A-Integral and Restricted Riesz Transform

Authors : Rashid Aliev, Khanim Nebiyeva

Pages : 104-112

Doi:10.33205/cma.728156

View : 21 | Download : 13

Publication Date : 2020-09-14

Article Type : Research

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
Keywords : Riesz transform, A-integral, Riesz's inequality, covering theorem