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On theT(1) theorem on product domains

Authors:

Josefina Alvarez

Institution:

1. Department of Mathematics, New Mexico State University, 88003-0001, Las Cruces, NM, USA

Abstract:

The direct proof by R. R. Coifman and Y. Meyer of theT(1) Theorem of G. David and J. L. Journé is based on the following result. LetT be an operator associated to a kernelk(x, y) satisfying

$\|k(y,x) - k(z,x)\| \leqslant C\frac{{\|y - z\|^\delta }}{{\|x - z\|^{n + \delta } }}, if 2\|y - z\|< \|x - z\|$

Keywords:
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