Abstract
We have shown that if the Toeplitz operatorTÏon the Bergman spaceLa2(&#x1D53B;)belongs to the Schatten classSp,1â€p<â, thenÏËâLp(&#x1D53B;,dλ), whereÏËis the Berezin transform ofÏ,dλ(z)=dA(z)/(1â|z|2)2, anddA(z)is the normalized area measure on the open unit disk&#x1D53B;. Further, ifÏâLp(&#x1D53B;,dλ)thenÏËâLp(&#x1D53B;,dλ)andTÏâSp. For certain subclasses ofLâ(&#x1D53B;), necessary and sufficient conditions characterizing Schatten class Toeplitz operators are also obtained.
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