Real interpolations of martingale Hardy-Lorentz-Karamata spaces

Abstract

In this paper, we investigate real interpolations in martingale Hardy-Lorentz-Karamata spaces. By introducing new type of martingale Hardy spaces, we find equivalent characterizations for the limiting reiteration of the real interpolations. As an application, we obtain the boundedness of fractional integrals in martingale Hardy-Lorentz-Karamata spaces.