Trigonometric series with lacunary-monotone coefficients

Mikhail Ivanovich Dyachenko; Sergey Yuryevich Tikhonov

Trigonometric series with lacunary-monotone coefficients

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Authors

Mikhail Ivanovich Dyachenko
Sergey Yuryevich Tikhonov

Keywords:

Multiple trigonometric series, lacunary-monotone coefficients, Lipschitz spaces, Nikol’skii spaces

Abstract

In this paper we study multiple trigonometric series with lacunary-monotone coefficients. We obtain necessary and sufficient conditions for the sum of such series to belong to \(L_p,\; 1 < p \le \infty\) and the generalized Lipschitz spaces (Nikol’skii spaces).

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Published

2012-06-30

How to Cite

Dyachenko, M. I., & Tikhonov, S. Y. (2012). Trigonometric series with lacunary-monotone coefficients. Eurasian Mathematical Journal, 3(2), 31–52. Retrieved from https://emj.enu.kz/index.php/main/article/view/791