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In this paper, we consider Toeplitz operators defined on the Bergman space  L a 2 ( ℂ + ) \msbm=MTMIB$L_a^2 \left( {{\msbm C}_+ } \right)$  of the right half plane and obtain Schatten class characterization of these operators. We have shown that if the Toeplitz operators  φ on  L a 2 ( ℂ + ) \msbm=MTMIB$L_a^2 \left( {{\msbm C}_+ } \right)$  belongs to the Schatten class  S p , 1 ≤ p &lt; ∞,  then  φ ˜ ∈ L p ( ℂ + , d ν ) \msbm=MTMIB$\tilde \phi \in L^p \left( {{\msbm C}_+ ,d\nu } \right)$ , where  φ ˜ ( w ) = 〈 φ b w ¯ , b w ¯ 〉 $\tilde \phi \left( w \right) = \left\langle {\phi b_{\bar w} ,b_{\bar w} } \right\rangle $ w ∈  ℂ +  and  b w ¯ ( s ) = 1 π 1 + w 1 + w ¯ 2 Rew ( s + w ) 2 $b_{\bar w} (s) = {1 \over {\sqrt \pi }}{{1 + w} \over {1 + \bar w}}{{2 Rew} \over {\left( {s + w} \right)^2 }}$ . Here  d ν ( w ) = | B ( w ¯ , w ) | d μ ( w ) $d\nu (w) = \left| {B(\bar w,w)} \right|d\mu (w)$ , where  dμ  ( w ) is the area measure on ℂ +  and  B ( w ¯ , w ) = ( b w ¯ ( w ¯ ) ) 2 $B(\bar w,w) = \left( {b_{\bar w} (\bar w)} \right)^2 $ : Furthermore, we show that if  φ ∈ L p (ℂ + , dv),  then  φ ˜ ∈ L p ( ℂ + , d ν ) \msbm=MTMIB$\tilde \phi \in L^p ({\msbm C}_+ ,d\nu )$ and  φ ∈  S p . We also use these results to obtain Schatten class characterizations of little Hankel operators and bounded operators defined on the Bergman space  L a 2 ( ℂ + ) \msbm=MTMIB$L_a^2 \left( {{\msbm C}_+ } \right)$

Schatten Class Operators in ℒ(La2(ℂ+))\msbm=MTMIB${\cal L}\left( {L_a^2 \left( {{\msbm C}_+ } \right)} \right)$