SOME NEW ESTIMATES FOR DISTANCES IN ANALYTIC FUNCTION SPACES OF SEVERAL COMPLEX VARIABLES AND DOUBLE BERGMAN REPRESENTATION FORMULA

Volume 3, Issue 1, pp 48-54 http://dx.doi.org/10.22436/jnsa.003.01.06

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Authors

ROMI SHAMOYAN - Department of Mathematics, Bryansk State University, Bryansk, Russia. MEHDI RADNIA - Department of Mathematics, Tabriz University, Tabriz, Iran.

Abstract

Using double Bergman representation formula we provide new sharp estimates for distances from fixed analytic functions to some subspaces of holomorphic functions in unit polydisk and unit ball. We will enlarge the list of previously known assertions of this type obtained recently by R. Zhao and W. Xu.

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Keywords

• holomorphic function
• distance function
• Bloch-type space
• Bergman-type classes
• unit ball
• unit polydisk.

MSC

•  30D45

References

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