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Weighted Exponential Inequalities
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H. P. Heinig
Published/Copyright:
February 23, 2010
Abstract
Necessary and sufficient conditions on weight pairs are found for the validity of a class of weighted exponential inequalities involving certain classical operators. Among the operators considered are the Hardy averaging operator and its variants in one and two dimensions, as well as the Laplace transform. Discrete analogues yield characterizations of weighted forms of Carleman's inequality.
Key words and phrases:: Hardy's inequality; Carleman's inequality; Laplace transform; weight function
Received: 2000-12-09
Published Online: 2010-02-23
Published in Print: 2001-March
© Heldermann Verlag
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Keywords for this article
Hardy's inequality;
Carleman's inequality;
Laplace transform;
weight function
Articles in the same Issue
- Polymersions of a Disk with Critical Points on the Boundary
- A Fixed Point Theorem of Leggett–Williams Type with Applications to Single- and Multivalued Equations
- Non-Noether Symmetries in Singular Dynamical Systems
- Weight Inequalities for Singular Integrals Defined on Spaces of Homogeneous and Nonhomogeneous Type
- Perturbation of a Fredholm Complex by Inessential Operators
- Weighted Exponential Inequalities
- On the Representation of Numbers by the Direct Sums of Some Quaternary Quadratic Forms
- On Local Invariants of Totally Real Surfaces
- On the Number of Representations of Positive Integers by the Quadratic Form
- Derivative Uniform Sampling via Weierstrass σ(z). Truncation Error Analysis in
- On Periodic Solutions of Autonomous Difference Equations
- Inequalities of Calderon–Zygmund Type for Trigonometric Polynomials
- Hilbert Spaces Formed by Strongly Harmonizable Stable Processes
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