Relative reproducing kernel Hilbert spaces
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- by Daniel Alpay, Palle Jorgensen and Dan Volok
- Proc. Amer. Math. Soc. 142 (2014), 3889-3895
- DOI: https://doi.org/10.1090/S0002-9939-2014-12121-6
- Published electronically: July 17, 2014
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Abstract:
We introduce a reproducing kernel structure for Hilbert spaces of functions where differences of point evaluations are bounded. The associated reproducing kernels are characterized in terms of conditionally negative functions.References
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Bibliographic Information
- Daniel Alpay
- Affiliation: Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er Sheva 84105, Israel
- MR Author ID: 223612
- Email: dany@math.bgu.ac.il
- Palle Jorgensen
- Affiliation: Department of Mathematics, 14 MLH, The University of Iowa, Iowa City, Iowa 52242-1419
- MR Author ID: 95800
- ORCID: 0000-0003-2681-5753
- Email: jorgen@math.uiowa.edu
- Dan Volok
- Affiliation: Department of Mathematics, 138 Cardwell Hall, Kansas State University, Manhattan, Kansas 66506
- Email: danvolok@math.ksu.edu
- Received by editor(s): November 7, 2012
- Received by editor(s) in revised form: December 6, 2012
- Published electronically: July 17, 2014
- Additional Notes: The first author thanks the Earl Katz family for endowing the chair which supported his research. The research of the authors was supported in part by the Binational Science Foundation grant No. 2010117.
- Communicated by: Pamela B. Gorkin
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 3889-3895
- MSC (2010): Primary 46E22, 47B32, 42A82
- DOI: https://doi.org/10.1090/S0002-9939-2014-12121-6
- MathSciNet review: 3251728