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The Rearrangement Inequality for the Ergodic Maximal Function
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L. Ephremidze
Published/Copyright:
February 25, 2010
Abstract
The equivalence of the decreasing rearrangement of the ergodic maximal function and the maximal function of the decreasing rearrangement is proved. Exact constants are obtained in the corresponding inequalities.
Key words and phrases:: Measure-preserving ergodic transformation; ergodic maximal function; decreasing rearrangement
Received: 2001-08-17
Published Online: 2010-02-25
Published in Print: 2001-December
© Heldermann Verlag
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Keywords for this article
Measure-preserving ergodic transformation;
ergodic maximal function;
decreasing rearrangement
Articles in the same Issue
- On the ξ-Exponentially Asymptotic Stability of Linear Systems of Generalized Ordinary Differential Equations
- On the Rationality of Certain Strata of the Lange Stratification of Stable Vector Bundles on Curves
- On the Existence of Singular Solutions
- Suspension and Loop Objects and Representability of Tracks
- Suspension and Loop Objects in Theories and Cohomology
- Global Geometric Aspects of Riemann–Hilbert Problems
- The Rearrangement Inequality for the Ergodic Maximal Function
- Some Remarks on Fractals Generated by a Sequence of Finite Systems of Contractions
- Unilateral Contact of Elastic Bodies (Moment Theory)
- Some Problems of Thermoelastic Equilibrium of a Rectangular Parallelepiped in Terms of Asymmetric Elasticity
- On the Product of Separable Metric Spaces
- On Singular Boundary Value Problems for Functional Differential Equations of Higher Order
- A Remark on Polygonal Quasiconformal Maps
- On Homomorphisms, Open Operators and their Adjoints