Algebraic properties of Toeplitz and small Hankel operators on the harmonic Bergman space

Acta Mathematica Sinica English Series ◽

10.1007/s10114-014-3276-3 ◽

2014 ◽

Vol 30 (8) ◽

pp. 1395-1406

Author(s):

Hong Yan Guan ◽

Yu Feng Lu

Keyword(s):

Bergman Space ◽

Hankel Operators ◽

Harmonic Bergman Space ◽

Algebraic Properties

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Algebraic properties of small Hankel operators on the harmonic Bergman space

Illinois Journal of Mathematics ◽

10.1215/ijm/1462450702 ◽

2015 ◽

Vol 59 (2) ◽

pp. 295-317 ◽

Author(s):

Yong Chen ◽

Wei He ◽

Yunzhong Hu

Keyword(s):

Bergman Space ◽

Hankel Operators ◽

Harmonic Bergman Space ◽

Algebraic Properties

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Schatten Class Hankel Operators on the Harmonic Bergman Space of the Unit Ball

Integral Equations and Operator Theory ◽

10.1007/s00020-007-1508-y ◽

2007 ◽

Vol 59 (1) ◽

pp. 53-65

Author(s):

Jie Miao

Keyword(s):

Unit Ball ◽

Bergman Space ◽

Hankel Operators ◽

Schatten Class ◽

Harmonic Bergman Space

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Weyl's theorem for Toeplitz operators with polynomial symbols on the harmonic Bergman space

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124770 ◽

2021 ◽

Vol 495 (2) ◽

pp. 124770

Author(s):

Chongchao Wang ◽

Xianfeng Zhao

Keyword(s):

Bergman Space ◽

Toeplitz Operators ◽

Weyl’S Theorem ◽

Harmonic Bergman Space

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Toeplitz Operators on the Harmonic Bergman Space with Pseudodifferential Defining Symbols

Trends in Mathematics - Current Trends in Analysis and Its Applications ◽

10.1007/978-3-319-12577-0_65 ◽

2015 ◽

pp. 591-603

Author(s):

Maribel Loaiza ◽

Nikolai Vasilevski

Keyword(s):

Bergman Space ◽

Toeplitz Operators ◽

Harmonic Bergman Space

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Note on Characterizations of the Harmonic Bergman Space

Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations ◽

10.1007/978-3-0348-0297-0_29 ◽

2012 ◽

pp. 491-496 ◽

Author(s):

Kyesook Nam ◽

Kyunguk Na ◽

Eun Sun Choi

Keyword(s):

Bergman Space ◽

Harmonic Bergman Space

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Some algebraic properties of Toeplitz and Hankel operators on polydisk

Archiv der Mathematik ◽

10.1007/s00013-003-0473-1 ◽

2003 ◽

Vol 80 (4) ◽

pp. 393-405 ◽

Author(s):

Caixing Gu

Keyword(s):

Hankel Operators ◽

Algebraic Properties

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THE COMPACTNESS OF A KIND OF GENERALIZED HANKEL OPERATORS ON THE BERGMAN SPACE OF THE UNIT BALL

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30656-2 ◽

2000 ◽

Vol 20 (4) ◽

pp. 471-475 ◽

Author(s):

Luo Luo ◽

Ji-Huai Shi

Keyword(s):

Unit Ball ◽

Bergman Space ◽

Hankel Operators

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On Toeplitz Operators on the Weighted Harmonic Bergman Space on the Upper Half-Plane

Complex Analysis and Operator Theory ◽

10.1007/s11785-014-0388-9 ◽

2014 ◽

Vol 9 (1) ◽

pp. 139-165 ◽

Author(s):

Maribel Loaiza ◽

Carmen Lozano

Keyword(s):

Bergman Space ◽

Toeplitz Operators ◽

Harmonic Bergman Space ◽

Upper Half Plane

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Ranks of commutators of Toeplitz operators on the harmonic Bergman space

Integral Equations and Operator Theory ◽

10.1007/s00020-012-2020-6 ◽

2012 ◽

Vol 75 (1) ◽

pp. 31-38 ◽

Author(s):

Yong Chen ◽

Hyungwoon Koo ◽

Young Joo Lee

Keyword(s):

Bergman Space ◽

Toeplitz Operators ◽

Harmonic Bergman Space

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Schatten-von Neumann Hankel Operators on the Bergman Space of Planar Domains

Integral Equations and Operator Theory ◽

10.1007/s00020-008-1619-0 ◽

2008 ◽

Vol 62 (2) ◽

pp. 219-232

Author(s):

Roberto C. Raimondo

Keyword(s):

Bergman Space ◽

Hankel Operators ◽

Von Neumann ◽

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