Characterizations for the Fraksional Integral Operator on Classic Morrey Spaces

Abstract

The boundedness of fractional integral operator  on  was introduced for the first time by Hardy G.H and Littlewood J.E (1928). In their evidence proof, Hardy and Littlewood used maximal operator that later known Hardy-Littlewood inequation. They proved that was limited from the Lebesgue’s space  to the space   with  and  In 1938, a mathematician C.B Morrey introduced one of space, namely the Morrey’s space with notation . This paper will elaborate the Morrey’s space and the boundedness of  toward the classic Morrey’s space by benefitted the Hardy-Littlewodd maximal operator