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Weighted Sobolev spaces: Markov-type inequalities and duality

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URI: http://hdl.handle.net/10016/33765
ISSN: 1664-3607
DOI: https://doi.org/10.1007/s13373-017-0104-y
UXXI: AR/0000024415
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Weighted_BMS_2018.pdf (510.57 KB)
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2018-08
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Springer Nature
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Abstract
Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type inequalities.
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Extremal problems, Markov-type inequality, Weighted Sobolev norm, Weighted L2-norm, Duality
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Marcellán, F., Quintana, Y. & Rodríguez, J. M. (2017). Weighted Sobolev spaces: Markov-type inequalities and duality. Bulletin of Mathematical Sciences, 8(2), 233–256
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