Weighted Pullback Transforms on Riemann Surfaces

In this paper, using properties of the conditional expectation operators we give an explicit formula for the adjoint of a bounded weighted pullback transform u C φ with analytic symbol φ and measurable weight u on the measurable differential form spaces for Riemann surfaces. Also, some properties of...

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Bibliographic Details
Published in:Complex analysis and operator theory 2023-05, Vol.17 (4), Article 51
Main Authors: Jabbarzadeh, M. R., Minayi, B.
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Operators (mathematics)
Riemann surfaces
Citations: Items that this one cites
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Summary:In this paper, using properties of the conditional expectation operators we give an explicit formula for the adjoint of a bounded weighted pullback transform u C φ with analytic symbol φ and measurable weight u on the measurable differential form spaces for Riemann surfaces. Also, some properties of these transforms are discussed.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-023-01362-8