2025/04/02 by Gurbuz, Ferit
#42B35 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 46E35 #Secondary 42B25
paper · doi:10.48550/arxiv.2504.01854
In harmonic analysis, the studies of inequalities of classical operators (= singular, maximal, Riesz potentials etc.) in various function spaces have a very important place. The maturation of many topics in the field of harmonic analysis, as a result of various needs and developments to respond to the problems of the time, has also led to the emergence of many studies and works on these topics. In [3], under some conditions, the boundedness of Riesz potential on homogeneous variable exponent Herz-Morrey-Hardy spaces has been given. Inspired by the work of [3], in this work, by the atomic decompositions, we obtain the boundedness of commutators generated by the Riesz potentials on homogeneous variable exponent Herz-Morrey-Hardy spaces.