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Tai Nguyen So - Vietnam National University, Ha Noi - VNU >
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http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12992
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| Title: | Toeplitz and Hankel operators with L∞,1 symbols on Dirichlet space |
| Authors: | Chen Y.
Dieu N.Q. |
| Keywords: | Commutativity
Dirichlet space
Fredholm property
Hankel operator
Sobolev space
Toeplitz operator |
| Issue Date: | 2010 |
| Publisher: | Journal of Mathematical Analysis and Applications |
| Citation: | Volume 369, Issue 1, Page 368-376 |
| 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. © 2010 Elsevier Inc. |
| URI: | http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12992 |
| ISSN: | 0022247X |
| Appears in Collections: | New - Articles of Universities of Vietnam from Scopus
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