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On the weighted Dirichlet space, by the Sobolev's embedding theorem, we characterize the compactness for operators which are finite sums of products of several Toeplitz operators. Moreover, the essential spectrum of Toeplitz operator is characterized.
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참고문헌 (7)
참고문헌 신청
T. Le / 2009 / Compact Toeplitz operators with continuous symbols / Glasg. Math. J 51(2):257~261
T. Le / 2010 / On Toeplitz operators on Bergman spaces of the unit polydisk / Proc. Amer. Math. Soc 138(1):275~285
Y. J. Lee / 2007 / Algebraic properties of Toeplitz operators on the Dirichlet space / J. Math. Anal. Appl 329(2):1316~1329
Y. J. Lee / 2016 / Compact sums of Toeplitz products on weighted Bergman and Dirichlet spaces / Complex Anal. Oper. Theory 10(8):1799~1809
T. Nakazi / 1996 / Riesz's functions in weighted Hardy and Bergman spaces / Canad. J. Math 48(5):930~945
T. Le / 2010 / On Toeplitz operators on Bergman spaces of the unit polydisk / Proc. Amer. Math. Soc 138(1):275~285
Y. J. Lee / 2007 / Algebraic properties of Toeplitz operators on the Dirichlet space / J. Math. Anal. Appl 329(2):1316~1329
Y. J. Lee / 2016 / Compact sums of Toeplitz products on weighted Bergman and Dirichlet spaces / Complex Anal. Oper. Theory 10(8):1799~1809
T. Nakazi / 1996 / Riesz's functions in weighted Hardy and Bergman spaces / Canad. J. Math 48(5):930~945
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