Title of article
Toeplitz and Hankel operators with symbols on Dirichlet space
Author/Authors
Chen، نويسنده , , Yong and Dieu، نويسنده , , Nguyen Quang، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
9
From page
368
To page
376
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 C ⊕ D ⊕ D ¯ , 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.
Keywords
Hankel operator , Dirichlet space , Sobolev space , Toeplitz operator , Fredholm property , Commutativity
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561133
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