Let <$EOMEGA> be a bounded symmetric domain in <$E{roman bold C} sup n> with Bergman kernel <$EK(z,~w)>. Let <$EdV sub lambda (z)~=~K(z,~z)~{dV(z)} over {C sub lambda }>, where <$EC sub lambda ~=~int sub OMEGA K(z,~z) sup lambda dV(z)>, <$Elambda~symbol <174>~roman bold R,~dV(z)> is the volume measure of <$EOMEGA> normalized so that <$EK(z,~0)~=~K(0,~w)~=~1>. In this paper we have shown that if the Toeplitz operator <$ET sub { symbol <102> }>, defined on <$EL sub alpha sup 2 ( OMEGA ,~dV over {C sub 0 })> belongs to the Schatten p-class, <$E1~symbol Г~p~<<~inf>, then <$Esymbol <102> tilde ~symbol <174>~L sup p ( OMEGA ,~d eta )>, where <$Ed eta (z)~=~K(z,~z)~dV(z) over {C sub 0 }> and <$Esymbol <102> tilde> is the Berezin transform of <$Esymbol <102>>. Further if <$Esymbol <102>~symbol <174>~L sup p ( OMEGA ,~d eta sub lambda )>, then <$E{ symbol <102> sub lambda } tilde~symbol <174>~L sup p ( OMEGA ,~d eta sub lambda )> and <$ET sub symbol <102> sup lambda> belongs to Schatten p-class. Here <$Ed eta sub lambda ~=~K(z,~z) dV(z) over {C sub lambda }}, the function <<$E{symbol <102> sub lambda } tilde> is the Berezin transform of <$Esymbol <102>> in <$EL sub alpha sup 2 ( OMEGA ,~dV sub lambda )> and <$ET sub symbol <102> sup lambda> is the Toeplitz operator defined on <$EL sub alpha sup 2 ( OMEGA ,~dV sub lambda )>. We also find conditions on bounded linear operator C defined from <$EL sub alpha sup 2 ( OMEGA ,~dV sub lambda ) into itself such that C belongs to the Schatten p-class by comparing it with positive Toeplitz operators defined on <$EL sub alpha sup 2 ( OMEGA ,~dV sub lambda )>. Applications of these results are obtained and we also present Schatten class characterization of little Hankel operators defined on <$EL sub alpha sup 2 ( OMEGA ,~dV sub lambda )>.

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