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Mat. Zametki, 2006 Volume 80, Issue 2, Pages 179–186 (Mi mzm2797)

On Some Integral Properties of Multidimensional Hilbert Operators

L. V. Zhizhiashvili

Tbilisi Ivane Javakhishvili State University

Abstract: In the present paper, we study the integral properties of multidimensional Hilbert transforms.

Keywords: Hilbert transform, Fourier transform, integrability of functions, Euclidean space, Lebesgue measure.

UDC: 517.518

Received: 25.05.2005

DOI: 10.4213/mzm2797


 English version:
Mathematical Notes, 2006, 80:2, 175–182

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