关于二重三角级数的加权LP可积性

摘要

研究了二重正弦级数、二重余弦级数和二重混合级数可积的充要条件.将Boas和Leindler的有关结论由单变量的情形本质性地推广到双变量的情形.%The necessary and sufficient conditions for the integrability of double sine, double cosine and cosine-sine series were investigated. Our results essentially generalized those of Boas and Leindler from one variable case to two variables case.