Lacunary Series in Weighted HyperholomorphicB^p,q(G) Spaces

Abstract

The goal of this article is two-fold. First, we consider a class of hyperholomorphic functions, the so called B p,q (G ) space in 3 . Then, we use the B p,q (G ) space to characterize the hyperholomorphic -Bloch space. Second, we obtain characterizations of the weighted hyperholomorphic B p,q (G )-functions by the coefficients of certain lacunary series expansions in Clifford Analysis.

Characterizations of Integral Type for Weighted Classes of Analytic Banach Function Spaces

“…Function spaces theory is developed, extended, and generalized to spaces of several complex variables ( [8][9][10][11][12][13]29]) also using quaternion-valued functions ( [21][22][23][24][30][31][32][33]). e intention of this study is to introduce a new type of analytic function spaces, which plays an interesting and global rule of studying complex function spaces.…”