It is proved in this paper that a pair of measurable functions satisfying the good-λ inequality yields quasi-norm inequalities in Lorentz spaces and weak Orlicz-Lorentz spaces. By use of this conclusion two embedding...It is proved in this paper that a pair of measurable functions satisfying the good-λ inequality yields quasi-norm inequalities in Lorentz spaces and weak Orlicz-Lorentz spaces. By use of this conclusion two embedding theorems are obtained in martingale spaces.展开更多
Required by the application in the investigation of the Cauchy integral operators on Lipschitzsurfaces, the classical martingales are generalized to ones defined with respect to Clifford algebravalued measures. Meanwh...Required by the application in the investigation of the Cauchy integral operators on Lipschitzsurfaces, the classical martingales are generalized to ones defined with respect to Clifford algebravalued measures. Meanwhile, very general Φ-equivalences between S(f) and f* , the same as inthe classical case, are established too.展开更多
文摘It is proved in this paper that a pair of measurable functions satisfying the good-λ inequality yields quasi-norm inequalities in Lorentz spaces and weak Orlicz-Lorentz spaces. By use of this conclusion two embedding theorems are obtained in martingale spaces.
文摘Required by the application in the investigation of the Cauchy integral operators on Lipschitzsurfaces, the classical martingales are generalized to ones defined with respect to Clifford algebravalued measures. Meanwhile, very general Φ-equivalences between S(f) and f* , the same as inthe classical case, are established too.
