【摘要】 文 [1 ]对形如 ∑∞n =0 ∑∞m =0amncosmxcosny等二重三角级数的和函数进行了研究 ,并证明了其范数‖f(x ,y)‖ p =∫π-π∫π-π｜f(x ,y) ｜p1 dx p2 /p1 dy1/p2 <∞所满足的几个不等式 .本文在此基础上对有关问题作了讨论并得到进一步的结果更多还原

【Abstract】 In the paper [1],we studied the sum function of dual trigonometric series form as ∑∞n=0∑∞m=0 amncosmxcosny,and proved a few of inequalities related to norm o f sum function ‖f(x,y)‖=∫π-πJB(( ∫π-π|f(x,y)|p1dxJB))p2/p1dy JB)]1/p2<∞.In this paper,we discussed the relational problem based on it,and obtained the farther result.更多还原