Abstract
The target of the existing paper is to acquaint the new spaces
B
r,s
∞ , B
r,s
, B
r,s
bp and B
r,s
reg which consist of all double sequences whose
binomial-transforms are in the spaces Mu, Cp, Cbp and Cr, respectively.
Besides these, some properties of them are investigated and inclusion relations are given. Moreover, the α−, β(ϑ)− and γ−duals are determined.
Finally, some 4-dimensional matrix mapping classes are characterized
