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Search: authors:"Munmun Hazarika"

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Hyponormality of generalised slant weighted Toeplitz operators with polynomial symbols

For a sequence of positive numbers \(\beta =\{\beta _{n}\}_{n\in \mathbb {Z}}\), the space \(L^2(\beta )\) consists of all \(f(z)=\sum _{-\infty }^\infty a_nz^n\), \(a_n\in \mathbb {C}\) for which \(\sum _{-\infty }^\infty |a_n|^2\beta _n^2<\infty \). For a bounded function \(\varphi (z)=\sum _{-\infty }^\infty a_nz^n\), the slant weighted Toeplitz operator \(A_\varphi ^{(\beta...