Abstract
In this paper we prove an embedding theorem for Bessel potential spaces and generalized Lipschitz spaces in Lr (K), 2 < r < ∞, where K is a local field. This theorem complements a result of the second author who has proved a similar embedding theorem for such spaces in Lr (K) when 1 < r ≤ 2.
The research of the second author was partially supported by NSF grants MCS 79–01957 and MCS 80–01870.
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References
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© 1981 Birkhäuser Verlag Basel
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Ombe, H., Onneweer, C.W. (1981). Bessel Potential Spaces and Generalized Lipschitz Spaces on Local Fields. In: Butzer, P.L., Sz.-Nagy, B., Görlich, E. (eds) Functional Analysis and Approximation. ISNM 60: International Series of Numerical Mathematics / ISNM 60: Internationale Schriftenreihe zur Numerischen Mathematik / ISNM 60: Série internationale d’Analyse numérique, vol 60. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9369-5_14
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DOI: https://doi.org/10.1007/978-3-0348-9369-5_14
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9371-8
Online ISBN: 978-3-0348-9369-5
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