Tartar’s method for the Riesz–Thorin interpolation theorem
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DOI: 10.1007/s00013-021-01636-7
Abstract: Tartar gave an alternative proof of the Riesz–Thorin interpolation theorem for operators of strong types (1, 1) and $$(\infty ,\infty )$$ . His method characterizes the $$L^{p}$$ norm in terms of the Lebesgue spaces $$L^{1}$$ and… read more here.
Keywords: tartar; interpolation theorem; riesz thorin; thorin interpolation ... See more keywords
Interpolation Theorem for Anisotropic Net Spaces
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DOI: 10.3103/s1066369x21080016
Abstract: The paper studies the interpolation properties of anisotropic net spaces $N_{\bar{p},\bar{q}}(M)$ , where $\bar{p}=(p_1, p_2)$ , $\bar{q}=(q_1, q_2)$ . It is shown that the scale of spaces $N_{\bar{p},\bar{q}}(M)$ is closed with respect to the Fernandez… read more here.
Keywords: anisotropic net; interpolation theorem; bar; net spaces ... See more keywords