Abstract
As an extension of the class of multiplication and Toeplitz operators, the notion of generalized slant multiplication operators \(W_{k}M_{\phi }\) and generalized slant Toeplitz operators \(B_{\phi }^k\), with symbol \(\phi\), have been introduced on the derivative Hardy space \(S^2({\mathbb {D}})\). Various characterizations for isometry and commutativity have been studied. Point spectrum and reducing subspaces of generalized slant multiplication operators \(W_{k}M_{z^m}\) and slant Toeplitz operators \(B_{\bar{z}^m}^k\) have been obtained.
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The authors would like to express their sincere gratitude to the referee for valuable comments and suggestions.
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Communicated by Ilya Spitkovsky.
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Singh, S.K., Sharma, J. Generalized slant Toeplitz operators on the derivative Hardy space \(S^2({\mathbb {D}})\). Ann. Funct. Anal. 13, 21 (2022). https://doi.org/10.1007/s43034-022-00166-9
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DOI: https://doi.org/10.1007/s43034-022-00166-9