Operators on Differential Form Spaces for Riemann Surfaces |
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| Authors: | Guang Fu Cao Xiao Feng Wang |
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| Institution: | (1) Department of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China |
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| Abstract: | In the present paper, a problem of Ioana Mihaila is negatively answered on the invertibility
of composition operators on Riemann surfaces, and it is proved that the composition operator C
p
is
Fredholm if and only if it is invertible if and only if p is invertible for some special cases. In addition,
the Toeplitz operators on
for Riemann surface M are defined and some properties of these
operators are discussed.
Supported partially by National Natural Science Foundation of China |
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| Keywords: | Riemann surface Composition operator Toeplitz operator |
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