This article is cited in 1 scientific paper (total in 1 paper)
Local smoothness of the conjugate functions
M. I. Dyachenko
Department of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, Russia
In the paper the author deals with the following problem: what can we say about the behaviour of the conjugate function at a fixed point, if the global smoothness as well as the behaviour at this point of the original function are known? Sharp results on this and related problems are obtained.
Keywords and phrases:
conjugate functions, local smoothness.
PDF file (475 kB)
M. I. Dyachenko, “Local smoothness of the conjugate functions”, Eurasian Math. J., 2:2 (2011), 31–59
Citation in format AMSBIB
\paper Local smoothness of the conjugate functions
\jour Eurasian Math. J.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
M. I. Dyachenko, E. D. Nursultanov, S. Yu. Tikhonov, “Global and local smoothness of the Hilbert transforms”, Proc. Steklov Inst. Math., 280 (2013), 169–180
|Number of views:|