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Title of Journal: J Fourier Anal Appl

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Abbravation: Journal of Fourier Analysis and Applications

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Birkhäuser-Verlag

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DOI

10.1007/bf00191850

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1531-5851

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Algebra of CalderónZygmund Operators Associated t

Authors: Yongsheng Han MingYi Lee ChinCheng Lin
Publish Date: 2006/09/15
Volume: 12, Issue: 5, Pages: 581-596
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Abstract

By use of special wavelet bases associated to accretive or pseudoaccretive functions it was proved that all CalderónZygmund operators satisfying certain conditions form an algebra In this article a similar result is proved for more general paraaccretive functions Since wavelet bases are not available for this general setting the new idea used here is to apply the discrete Calderóntype reproducing formula associated to paraaccretive functions developed in 14 This new method can be applied to many other problems where wavelet bases are not available

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Other Papers In This Journal:
  1. Pointwise Convergence of the Calderón Reproducing Formula
  2. Commutators of Riesz Transforms Related to Schrödinger Operators
  3. Harmonic Analysis on the Möbius Gyrogroup
  4. Micro-Local Analysis with Fourier Lebesgue Spaces. Part I
  5. Phase Retrieval for the Cauchy Wavelet Transform
  6. Estimations of Hölder Regularities and Direction of Singularity by Hart Smith and Curvelet Transforms
  7. Truncation Approximations and Spectral Invariant Subalgebras in Uniform Roe Algebras of Discrete Groups
  8. Counterexamples to the B-spline Conjecture for Gabor Frames
  9. An Uncertainty Principle and Sampling Inequalities in Besov Spaces
  10. Uniform Estimates for the Fourier Transform of Surface Carried Measures in ℝ 3 and an Application to Fourier Restriction
  11. Divergence of Spherical General Terms of Double Fourier Series
  12. The Bochner–Schoenberg–Eberlein Property for Totally Ordered Semigroup Algebras
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