WEIGHTED ORLICZ SPACE INTEGRAL INEQUALITIES FOR POTENTIAL MAXIMAL OPERATORS

Kim, Yong-Mal (Department of Mathematics Education Kyngpook National University) ;
Yoo, Yoon-Jae (Department of Mathematics Education Kyngpook National University)

We characterize a condition for M to be of weak type ($\Phi$1, $\Phi$2) in terms of Orlicz norms.

Studia Math. v.110 Weighted Lф integral inequalities for operators of Hardy type S. Bloom;R. Kerman
Studia Math. v.110 Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator
Ann. Math. v.76 Interpolation by bounded analytic functions and the corona problem L. Carleson
Israel J. Math. v.81 Weighted and Lф-boundedness of the Poisson integral operator Jie-Cheng Chen
Amer. J. Math. v.93 Some maximal inequalities C. Fefferman;E. M. Stein
Israel J. Math. v.67 Weighted weak type integral inequality for the Hardy-Littlewood maximal operator D. Gallardo
Weighted Norm Inequalities and Related Topics J. Garcia-Cuerva;J. L. Rubio De Francia
Far East J. Math. Sci. v.5 no.2 Weighted Orlicz space integral inequalities for fractional maximal operators Yong Mal Kim;Yoon Jae Yoo
Trans. Amer. Math. Soc. v.191 Weighted norm inequalities for fractional integrals B. Muckenhoupt;R. L.Wheeden
Lecture Notes in Math. v.1034 Orlicz Spaces and Modular Spaces J. Musielak
Type Maximal Operators, Indiana University Mathematics Journal v.43 no.2 Two Weighted Inequalities for Potential and Fractional C. P'erez
Publications Matem`atiques v.38 Weighted Norm Inequalities for Maximal Functions from the Muckenhoupt conditions Y. Rakotondratsimba
Pacific J. Math. v.117 A unified to Carleson measures and Ap weights F. Ruiz
Pacific J. Math. v.117 A unified approach to Carleson measures and Ap weights II F. J. Ruiz;J. L. Torrea