Weighted inequalities for Hilbert transforms and multiplicators of Fourier transforms.
Kokilashvili, V., Meskhi, A. (1997)
Journal of Inequalities and Applications [electronic only]
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Weighted inequalities for Hilbert transforms and multiplicators of Fourier transforms.
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We show that associated with every i.d. (infinitely divisible) process on a locally compact, non-compact 2nd countable Abelian group is a corresponding potential theory that yields definitive results on the behavior of the process in both space and time. Our results are general, no density or other smoothness assumptions are made on the process. In this first part of two part work we have four main goals. (1) To lay the probabilistic foundation of such processes. This mainly...
Weighted inequalities in Fourier analysis
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