On The Inequality Of Different Metrics For Multiple Fourier-Haar Series
Bashirova A.N. Nursultanov E.D.
2021L.N. Gumilyov Eurasian National University
Eurasian Mathematical Journal
2021#12Issue 390 - 93 pp.
Let 1 < p < q < 1, f 2 Lp[0; 1]. Then, according to the inequality of different metrics due to S.M. Nikolskii, for the sequence of norms of partial sums of the Fourier-Haar series formula presented the following relation is true formula presented. In this paper, we study the asymptotic behavior of partial sums in the Lorentz spaces. In particular, it is obtained that formula presented.
Anisotropic lebesgue and lorentz spaces. , Fourier series , Haar system , Inequality of different metrics
Text of the article Перейти на текст статьи
M.V. Lomonosov Moscow State University, Kazakhstan Branch,11 Kazhymukan Munaitpasov St, Nur-Sultan, 010010, Kazakhstan
Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 13 Kazhymukan Munaitpasov St, Nur-Sultan, 010008, Kazakhstan
M.V. Lomonosov Moscow State University
Faculty of Mechanics and Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026