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Inequalities of Calderon–Zygmund Type for Trigonometric Polynomials
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K. Runovski
Published/Copyright:
February 23, 2010
Abstract
We give a unified approach to inequalities of Calderon–Zygmund type for trigonometric polynomials of several variables based on the Fourier analytic methods. Sharp results are achieved for the full range of admissible parameters p, 0 < p ≤ +∞. The results obtained are applied to the problem of the image of the Fourier transform in the scale of Besov spaces.
Key words and phrases:: Inequalities for trigonometric polynomials in Lp; 0 < p ≤ +∞; necessary and sufficient conditions; Fourier multipliers; Besov spaces
Received: 2000-12-04
Published Online: 2010-02-23
Published in Print: 2001-March
© Heldermann Verlag
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Keywords for this article
Inequalities for trigonometric polynomials in Lp;
0 < p ≤ +∞;
necessary and sufficient conditions;
Fourier multipliers;
Besov spaces
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
- Optimal Mean-Variance Robust Hedging under Asset Price Model Misspecification
