The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations |
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Authors: | Osvaldo Mendez Marius Mitrea |
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Institution: | (1) Department of Mathematics, University of Missouri-Columbia, 65211 Columbia, MO |
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Abstract: | With “hat” denoting the Banach envelope (of a quasi-Banach space) we prove that
if 0<p<1, 0<q<1, ℝ, while
if 0<p<1, 1≤q<+∞, ∝, and
if 1≤p<+∞, 0<q<1, ℝ.
Applications to questions regarding the global interior regularity of solutions to Poisson type problems for the three-dimensional
Lamé system in Lipschitz domains are presented. |
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Keywords: | Primary 46E35 42B20 46A16 secondary 35J55 47G10 73C02 |
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