A Kind of Invariant Hankel Operators

Abstract:

      For two kinds of the Moebius invariant subspace A_l^a,2(D) and A_l^-a,2(D) of L^a,2(D), we define big and small Hankel operators H_b^ll′ and h_b^ll′ for the analytic symbol function b(z), and study their boundedness, compactness and Schatten-von Neumanu classes S_p-estimates, and hence develope Schatten -von Neumann properties of these op- erators.