# Orthogonal polynomials and middle Hankel operators on Bergman spaces

Lizhong Peng; Richard Rochberg; Zhijian Wu

Studia Mathematica (1992)

- Volume: 102, Issue: 1, page 57-75
- ISSN: 0039-3223

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topPeng, Lizhong, Rochberg, Richard, and Wu, Zhijian. "Orthogonal polynomials and middle Hankel operators on Bergman spaces." Studia Mathematica 102.1 (1992): 57-75. <http://eudml.org/doc/215914>.

@article{Peng1992,

abstract = {We introduce a sequence of Hankel style operators $H^k$, k = 1,2,3,..., which act on the Bergman space of the unit disk. These operators are intermediate between the classical big and small Hankel operators. We study the boundedness and Schatten-von Neumann properties of the $H^k$ and show, among other things, that $H^k$ are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.},

author = {Peng, Lizhong, Rochberg, Richard, Wu, Zhijian},

journal = {Studia Mathematica},

language = {eng},

number = {1},

pages = {57-75},

title = {Orthogonal polynomials and middle Hankel operators on Bergman spaces},

url = {http://eudml.org/doc/215914},

volume = {102},

year = {1992},

}

TY - JOUR

AU - Peng, Lizhong

AU - Rochberg, Richard

AU - Wu, Zhijian

TI - Orthogonal polynomials and middle Hankel operators on Bergman spaces

JO - Studia Mathematica

PY - 1992

VL - 102

IS - 1

SP - 57

EP - 75

AB - We introduce a sequence of Hankel style operators $H^k$, k = 1,2,3,..., which act on the Bergman space of the unit disk. These operators are intermediate between the classical big and small Hankel operators. We study the boundedness and Schatten-von Neumann properties of the $H^k$ and show, among other things, that $H^k$ are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.

LA - eng

UR - http://eudml.org/doc/215914

ER -

## References

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