Uniform Rectifiability, Calderón-zygmund Operators with Odd Kernel, and Quasiorthogonality
نویسنده
چکیده
In this paper we study some questions in connection with uniform rectifiability and the L boundedness of Calderón-Zygmund operators. We show that uniform rectifiability can be characterized in terms of some new adimensional coefficients which are related to the Jones’ β numbers. We also use these new coefficients to prove that n-dimensional CalderónZygmund operators with odd kernel of type C2 are bounded in L(μ) if μ is an n-dimensional uniformly rectifiable measure.
منابع مشابه
Analytic Capacity, Calderón-zygmund Operators, and Rectifiability
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