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Strong type estimates for homogeneous Besov capacities

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Abstract.

 Capacitary strong type estimates for homogeneous Besov spaces are established. Moreover, the result is used to study embeddings and dualities of function spaces.

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Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, Lexington, KY 40506, USA (e-mail: dave@ms.uky.edu), , , , , , US

    D.R. Adams

  2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF A1C 5S7, Canada (e-mail: jxiao@math.mun.ca), , , , , , CA

    J. Xiao

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  1. D.R. Adams
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  2. J. Xiao
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Received: 17 October 2001 / Published online: 10 February 2003

Mathematics Subject Classification (2000): 42A16, 46E30, 47B38

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Adams, D., Xiao, J. Strong type estimates for homogeneous Besov capacities. Math. Ann. 325, 695–709 (2003). https://doi.org/10.1007/s00208-002-0396-3

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  • DOI: https://doi.org/10.1007/s00208-002-0396-3

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