Embedding relations of Besov classes under GBV

作者：Cheng, W. T.^*; Xu, X. W.^*; Zeng, X. M.^*

来源：Journal of Computational Analysis and Applications, 2016, 20(3): 499-513.

• GBV
• Besov classes
• embedding relations
• Fourier coefficients

In this paper, we strengthen some of Leindler's results from [L. Leindler. Embedding relations of Besov classes. Acta Sci. Math. (Szeged), 73(2007)133-149.] under GBV condition. First, we discuss embedding relations between two Besov classes. Next, we give an equivalent estimate for the k-order modulus of continuity of f(x) in L-P norm under GBV condition. Finally, we give the condition to ensure a function f is an element of L-P have Fourier coefficients of GBV belongs to the Besov class.

• 出版日期2016-3
• 单位厦门大学