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MIXED NORM INEQUALITIES FOR SOME DIRECTIONAL MAXIMAL OPERATORS
Published online by Cambridge University Press: 16 February 2012
Abstract
Mixed norm inequalities for directional operators are closely related to the boundedness problems of several important operators in harmonic analysis. In this paper we prove weighted inequalities for some one-dimensional one-sided maximal functions. Then by applying these results, we establish mixed norm inequalities for directional maximal operators which are defined from these one-dimensional maximal functions. We also estimate the constants in these inequalities.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 86 , Issue 3 , December 2012 , pp. 448 - 455
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2012