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Criteria of Weighted Inequalities in Orlicz Classes for Maximal Functions Defined on Homogeneous Type Spaces
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A. Gogatishvili
Published/Copyright:
February 18, 2010
Abstract
The necessary and sufficient conditions are derived in order that a strong type weighted inequality be fulfilled in Orlicz classes for scalar and vector-valued maximal functions defined on homogeneous type space. A weak type problem with weights is solved for vector-valued maximal functions.
Received: 1993-09-06
Published Online: 2010-02-18
Published in Print: 1994-December
© 1994 Plenum Publishing Corporation
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Articles in the same Issue
- Computation of Poisson Type Integrals
- Non-Stationary Problems of Generalized Elastothermodiffusion for Inhomogeneous Media
- Potential Methods in Continuum Mechanics
- Criteria of Weighted Inequalities in Orlicz Classes for Maximal Functions Defined on Homogeneous Type Spaces
- On the Oscillation of Solutions of First Order Delay Differential Inequalities and Equations
Articles in the same Issue
- Computation of Poisson Type Integrals
- Non-Stationary Problems of Generalized Elastothermodiffusion for Inhomogeneous Media
- Potential Methods in Continuum Mechanics
- Criteria of Weighted Inequalities in Orlicz Classes for Maximal Functions Defined on Homogeneous Type Spaces
- On the Oscillation of Solutions of First Order Delay Differential Inequalities and Equations
