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SMALL HANKEL OPERATORS ON WEIGHTEDBERGMAN SPACES OF BOUNDED SYMMETRICDOMAINS 被引量:2
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作者 刘永民 《Acta Mathematica Scientia》 SCIE CSCD 2000年第1期27-34,共8页
The small Hankel operators on weighted Bergman space of bounded symmetric domains Omega in C-n with symbols in L-2(Omega,dV(lambda)) are studied. Characterizations for the boundedness, compactness of the small Hankel ... The small Hankel operators on weighted Bergman space of bounded symmetric domains Omega in C-n with symbols in L-2(Omega,dV(lambda)) are studied. Characterizations for the boundedness, compactness of the small Hankel operators h(Phi) are presented in terms of a certain integral transform of the symbol Phi. 展开更多
关键词 BOUNDEDNESS COMPACTNESS small hankel operator integral transform
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Algebraic Properties of Toeplitz and Small Hankel Operators on the Harmonic Bergman Space 被引量:1
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作者 Hong Yan GUAN Yu Feng LU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第8期1395-1406,共12页
In this paper,we discuss some algebraic properties of Toeplitz operators and small Hankel operators with radial and quasihomogeneous symbols on the harmonic Bergman space of the unit disk in the complex plane C.We sol... In this paper,we discuss some algebraic properties of Toeplitz operators and small Hankel operators with radial and quasihomogeneous symbols on the harmonic Bergman space of the unit disk in the complex plane C.We solve the product problem of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator.Meanwhile,we characterize the commutativity of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator. 展开更多
关键词 Toeplitz operator small hankel operator quasihomogeneous symbols harmonic Bergman space Mellin transform
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