A New Isometric Integral Operator on Bloch Space in the Disk

Geng Lei Li

doi:10.4028/www.scientific.net/AMR.557-559.2118

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 557-559A New Isometric Integral Operator on Bloch Space...

A New Isometric Integral Operator on Bloch Space in the Disk

Abstract:

In this paper, we defined a new integral operator and studied the isometric properties on the Bloch space in the disk. we gave a necessary and sufficient condition about it.

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Periodical:

Advanced Materials Research (Volumes 557-559)

Pages:

2118-2121

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.557-559.2118

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Online since:

July 2012

Authors:

Geng Lei Li

Keywords:

Bloch Space, Integral Operator, Isometry

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References

[1] M. J. Martt'n and D. Vukotic', Isometries of the Bloch space among the composition operators, Bull. London Math.Soc,39,2007, pp.151-155

Google Scholar

[2] M. J. Martt'n and D. Vukotic', Isometries of some classical function spaces among the composition operators, Recent ad operator-related function theory, ed. A. L. Matheson, M. I. Stessin, and R. M. Timoney, Contemporary Mathematics, 393 American Mathematical Society, Providence, RI, 2006, pp.133-138

DOI: 10.1090/conm/393/07375

Google Scholar

[3] B. A. Cload, Composition operators: hyperinvariant subspaces, quasi-normals and isometries, Proc. Amer. Math. Soc., 127 ,1999, pp.1697-1703.

DOI: 10.1090/s0002-9939-99-04663-8

Google Scholar

[4] B. J. Carswell and C. Hammond, Composition operators with maximal norm on weighted Bergman spaces, Proc. Amer. Math. Soc., 134, 2006,pp.2599-2605

DOI: 10.1090/s0002-9939-06-08271-2

Google Scholar

[5] J.Bonet, M. Lindstrm and E.Wolf, Isometric weighted composition operators on weighted Banach spaces of type Proc. Amer. Math. Soc., 136(12), 2008, P. 4267-4273.

DOI: 10.1090/s0002-9939-08-09631-7

Google Scholar

[6] Geng-Lei Li and Ze-Hua Zhou, Isometries on Products of composition and integral operators on Bloch type space, Journal of Inequalities and Applications, 2010 (2010),Artical ID: 184957: 9 pages.

DOI: 10.1155/2010/184957

Google Scholar