Duality of generalized Hardy and BMO spaces associated with singular partial differential operator

Abstract

. First we de fi ne and study the generalized bounded mean ossilation space B mo α associated with the Riemann-Liouville operator R α . Next we prove the duality between B mo α and the genralized Hardy space H 1 α associated with R α . Mathematics subject classi fi cation (2020): 30H10, 30H35, 42A38.