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We consider weighted Hardy spaces on bidisk ${\mathbb D}^2$ which generalize the weighted Bergman spaces $A_\alpha^2({\mathbb D}^2)$. Let $z,w$ be coordinate functions and $T_{\overline{z}^Nw}$ Toeplitz operator with symbol $\overline{z}^Nw$. In this paper, we study the reducing subspaces of $T_{\overline{z}^Nw}$ on the weighted Hardy spaces.
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참고문헌 (8)
참고문헌 신청
Mohammed Albaseer / 2015 / REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK / 대한수학회보 52(5):1649~1660
T. Gamelin / 1969 / Uniform Algebras / Prentice-Hall
K. Guo / 2015 / Multiplication Operators on the Bergman Space / Springer Berlin
S. Kuwahara / 2014 / Reducing subspaces of weighted Hardy spaces on polydisks / Nihonkai Math. J 25(2):77~83
S. Kuwahara / Reducing subspaces of multiplication operators on weighted Hardy spaces over bidisk / J. Math. Soc. Japan
T. Gamelin / 1969 / Uniform Algebras / Prentice-Hall
K. Guo / 2015 / Multiplication Operators on the Bergman Space / Springer Berlin
S. Kuwahara / 2014 / Reducing subspaces of weighted Hardy spaces on polydisks / Nihonkai Math. J 25(2):77~83
S. Kuwahara / Reducing subspaces of multiplication operators on weighted Hardy spaces over bidisk / J. Math. Soc. Japan
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