Cite this article as:

Комиссарова Н. Е. Lebesgue functions for Haar system on compact zero-dimensional group . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2012, vol. 12, iss. 3, pp. 30-36. DOI: https://doi.org/10.18500/1816-9791-2012-12-3-30-36

Language:

Russian

Heading:

Mathematics

UDC:

517.51

Lebesgue functions for Haar system on compact zero-dimensional group

Authors:

Komissarova Nataliya Evgen'evna, Saratov State University 1, Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83 , NataliyaKomissarova@yandex.ru

Abstract:

In this article we discuss Lebesgue functions for Haar system on compact zero-dimensional group. We find cases when they are constant, also we find two-sided estimates for Lebesgue functions.

Key words:

compact zero-dimensional group, Haar functions, Lebesgue functions.

DOI:

https://doi.org/10.18500/1816-9791-2012-12-3-30-36

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