Аннотация:
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).
Ключевые слова и фразы:multiple trigonometric series, lacunary-monotone coefficients, Lipschitz and Nikol’skii spaces.
Полный текст:
PDF файл (451 kB)