Embedding relations of Besov classes under GBV.

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 Lp norm under GBV condition. Finally, we give the condition to ensure a function f ∈ Lp have Fourier coefficients of GBV belongs to the Besov class. [ABSTRACT FROM AUTHOR]