On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces

Given a bounded linear operator T:LPO(ℝn)→Lp1(ℝn), we state conditions under which T defines a bounded operator between corresponding pairs of Lp(ℝn;ιq) spaces and Triebel-Lizorkin spaces Fp,qs(ℝn). Applications are given to linear parabolic equations and to Schrödinger semigroups.

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Bibliographic Details
Main Author: João Pedro Boto
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2008/981834
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