Geodesic
Compact Toeplitz operators with continuoussymbols on weighted Bergman spaces
Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 31-35

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Let L^2_a (D, d\sigmad\theta /2\pi ) be a complete weighted Bergman space on the open unitdisc D, where d\sigma is a positive finiteBorel measure on [0, 1). We show the following : when \phi isa continuous function on the closed unit disc \bar {D}, T_\phi is compact if and only if \phi = 0 on\partial D.1991 Mathematics Subject Classification 47B35, 47B07. 
Nakazi, Takahiko; Yoneda, Rikio. Compact Toeplitz operators with continuoussymbols on weighted Bergman spaces. Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 31-35. doi: 10.1017/S0017089500010053
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     title = {Compact {Toeplitz} operators with continuoussymbols on weighted {Bergman} spaces},
     journal = {Glasgow mathematical journal},
     pages = {31--35},
     year = {2000},
     volume = {42},
     number = {1},
     doi = {10.1017/S0017089500010053},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500010053/}
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