On the Hilbert matrix operator on Hardy and weighted Bergman spaces of the upper half-plane

Authors

Carolyne Wangare Wanjohi Department of Mathematics, Multimedia University of Kenya, Kenya
J.O. Bonyo Department of Mathematics, Multimedia University of Kenya, Kenya
Joy Mutegi Department of Mathematics, Multimedia University of Kenya, Kenya

Hilbert matrix operator, spectrum, norm, Fourier transform, upper half-plane

In this paper, we compute the norm and spectrum of the Hilbert matrix operator on Hardy and weighted Bergman spaces of the upper half-plane.

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