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Necessary and Sufficient Conditions for Weighted Orlicz Class Inequalities for Maximal Functions and Singular Integrals. I
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A. Gogatishvili
Published/Copyright:
February 23, 2010
Abstract
Criteria of various weak and strong type weighted inequalities are established for singular integrals and maximal functions defined on homogeneous type spaces in the Orlicz classes.
Key words and phrases.: Singular integrals; maximal functions; homogeneous type spaces; Orlicz class; weak type inequality; strong type inequality
Received: 1994-02-23
Published Online: 2010-02-23
Published in Print: 1995-August
© 1995 Plenum Publishing Corporation
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Articles in the same Issue
- On Optimal Stopping of Inhomogeneous Standard Markov Processes
- Geometry of Poisson Structures
- Necessary and Sufficient Conditions for Weighted Orlicz Class Inequalities for Maximal Functions and Singular Integrals. I
- On the Solvability of A Spatial Problem of Darboux Type for the Wave Equation
- On Proper Oscillatory and Vanishing at Infinity Solutions of Differential Equations with A Deviating Argument
- Global Dimensions of Subidealizer Rings
- Regular Fréchet–Lie Groups of Invertible Elements in Some Inverse Limits of Unital Involutive Banach Algebras
Keywords for this article
Singular integrals;
maximal functions;
homogeneous type spaces;
Orlicz class;
weak type inequality;
strong type inequality
Articles in the same Issue
- On Optimal Stopping of Inhomogeneous Standard Markov Processes
- Geometry of Poisson Structures
- Necessary and Sufficient Conditions for Weighted Orlicz Class Inequalities for Maximal Functions and Singular Integrals. I
- On the Solvability of A Spatial Problem of Darboux Type for the Wave Equation
- On Proper Oscillatory and Vanishing at Infinity Solutions of Differential Equations with A Deviating Argument
- Global Dimensions of Subidealizer Rings
- Regular Fréchet–Lie Groups of Invertible Elements in Some Inverse Limits of Unital Involutive Banach Algebras
