Orlicz norm inequalities for the composite operator and applications
نویسندگان
چکیده
منابع مشابه
Orlicz norm inequalities for the composite operator and applications
In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation. Then we develop these estimates to L (μ)averaging domains. Finally, we give some specific examples of Young functions and apply them to the norm inequality for the composite operator. 2000 Mathematics Sub...
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The purpose of this paper is to establish the Lipschitz norm and BMO norm inequalities for the composition of the homotopy operator T and the projection operator H applied to differential forms in R, n ≥ 2. The harmonic projection operator H, one of the key operators in the harmonic analysis, plays an important role in the Hodge decomposition theory of differential forms. In the meanwhile, the ...
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p A v = u , (1) holds for t = ) t ( = ) t ( , but not if 1 = p . Also for each < p 1 there exists a pair p A ) v , u ( so that (1) fails in the special case t = ) t ( = ) t ( [3, p. 395]. In these exceptional cases we have a weak type inequality. An excellent reference is the book by J.Garcia-Cuerva and J.L.Rubio de Francia [3]. We refer the reader interested in the current stat...
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The analysis of multilinear singular integrals has much of its origins in several works by Coifman and Meyer in the 70’s; see for example [3]. More recently, in [4] and [5], an updated systematic treatment of multilinear singular integral operators of Calderón-Zygmund type was presented in light of some new developments. See also [6] and the references therein for a detailed description of prev...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2011
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2011-69