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Carleson Measures of Bergman Spaces in Domains with Nonsmooth Boundary

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Complex Analysis, Operators, and Related Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 113))

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Abstract

For a wide class of domains, we characterize the bounded identity operator from the weighted Bergman space of harmonic (analytic) functions L p h (L p a ) to the Lebesgue space L q (μ) in terms of Carleson-type conditions.

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References

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© 2000 Springer Basel AG

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Oleinik, V.L. (2000). Carleson Measures of Bergman Spaces in Domains with Nonsmooth Boundary. In: Havin, V.P., Nikolski, N.K. (eds) Complex Analysis, Operators, and Related Topics. Operator Theory: Advances and Applications, vol 113. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8378-8_22

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  • DOI: https://doi.org/10.1007/978-3-0348-8378-8_22

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9541-5

  • Online ISBN: 978-3-0348-8378-8

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