Article ID Journal Published Year Pages File Type
4619073 Journal of Mathematical Analysis and Applications 2010 9 Pages PDF
Abstract

We show that Toeplitz or small Hankel operators with symbols in L∞,1 is a generalization of the case with the harmonic symbol in , where D is the Dirichlet space on D. We also give a decomposition theorem for the Sobolev space of first order on D. Using this result, some characterizations for algebraic properties of Toeplitz or small Hankel operators with symbols in L∞,1 are given.

Related Topics
Physical Sciences and Engineering Mathematics Analysis