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On the estimates of the singular integral and maximal singular integral

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2013
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Abstract (EN)

SUMMARY In this thesis, the estimates of the maximal singular integral T^* f in terms of the singular integral Tf is emphasized. The inequality ?T^* f?_2?C?Tf?_2 in L^2 (R^n ) space is investigated. We obtain that such an inequality are hold for smooth homogeneous convolution Calderon-Zygmund operators. Thus we consider the higher Riesz transforms. Keywords: Singular Integrals, Maximal Singular Integrals, Riezs Transforms

Author

Merve Varol

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Merve Varol (Master Thesis). On the estimates of the singular integral and maximal singular integral, 2013, Kütahya Dumlupınar University.

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