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We discussed the reducing subspaces of Toeplitz operators Tz1Nz2M  N≠M on the weighted analytic function spaces of bidisk Hw2(D2). The result shows that if the weight w is of type-I, the structure of reducing subspaces of Tz1Nz2M  N≠M on Hw2D2 is very simple

journal of function spaces

A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msubsup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mn fontstyle="italic">2</mml:mn></mml:mrow></mml:msubsup><mml:mfenced separators="|"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">D</mml:mi></mml:mrow><mml:mrow><mml:mn fontstyle="italic">2</mml:mn></…

A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk Hw2D2