Assistant Professor, Department of Pure Mathematics, University of Kurdistan
Abstract
In this paper, we find necessary and sufficient conditions for boundedness and invertibility of point-wise multiplication operator on weighted spaces of holomorphic functions on the upper half-plane where our weight functions does not satisfy any growth conditions necessarily. We also show that point-wise multiplication operator is not a compact operator on these spaces. Finally, we present an open problem.
Ardalani, M. (2018). Boundedness and invertibility of point-wise multiplication operator on weighted spaces of holomorphic functions on the upper half-plane. سیستم های مختلط و غیر خطی, 1(2), 107-111.
MLA
Mohammad Ardalani. "Boundedness and invertibility of point-wise multiplication operator on weighted spaces of holomorphic functions on the upper half-plane". سیستم های مختلط و غیر خطی, 1, 2, 2018, 107-111.
HARVARD
Ardalani, M. (2018). 'Boundedness and invertibility of point-wise multiplication operator on weighted spaces of holomorphic functions on the upper half-plane', سیستم های مختلط و غیر خطی, 1(2), pp. 107-111.
VANCOUVER
Ardalani, M. Boundedness and invertibility of point-wise multiplication operator on weighted spaces of holomorphic functions on the upper half-plane. سیستم های مختلط و غیر خطی, 2018; 1(2): 107-111.
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