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Boundedness of some pseudo-differential operators on generalized Triebel–Lizorkin spaces
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Madani Moussai
Published/Copyright:
January 18, 2011
Abstract
Let v : [0,∞) → ]0,∞) be a function such that the inequality v(ts) ≥ ct-μv(s) holds for 0 < t,s ≤ 1 and some real number μ. In the generalized Triebel–Lizorkin spaces Fp,qv(Rn), we will study the boundedness of the pseudo-differential operators whose symbols belong to Hörmander´s class S1,δm,0 ≤ δ < 1.
Keywords: pseudo-differential operators; Triebel-Lizorkin spaces; Littlewood-Paley decomposition; elementary symbols
Published Online: 2011-01-18
Published in Print: 2011-01-01
© by Oldenbourg Wissenschaftsverlag, M′Sila, Germany
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- Some counterexamples for your calculus course
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Keywords for this article
pseudo-differential operators;
Triebel-Lizorkin spaces;
Littlewood-Paley decomposition;
elementary symbols
Articles in the same Issue
- Original Papers
- Some counterexamples for your calculus course
- Boundedness of some pseudo-differential operators on generalized Triebel–Lizorkin spaces
- Some topics related to universality of L-functions with an Euler product
- On the corkscrew condition for minimal sets
- Entire functions sharing values with their derivatives
- Expressions for two generalized Furdui series
- Differential polynomials which share a value with their derivative
- Toeplitz matrices, ergodicity and Fréchet spaces
- On algebraic selfsimilar solutions of the mean curvature flow
