Dahlberg’s bilinear estimate for solutions of divergence form complex elliptic equations
نویسندگان
چکیده
منابع مشابه
Dahlberg’s Bilinear Estimate for Solutions of Divergence Form Complex Elliptic Equations
Ω ∇u · v, where u is harmonic in the domain Ω ≡ {(x, t) ∈ Rn+1 : t > φ(x)}, with φ Lipschitz, and where v ∈ W loc is vector valued. He showed that the bilinear form (1.1) is bounded by the L2 norm of the square function plus the non-tangential maximal function of u, times the same expression for v. In the present note, we generalize Dahlberg’s Theorem to variable coefficient divergence form ell...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2008
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-08-09500-2