Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
نویسندگان
چکیده
منابع مشابه
Square Function/non-tangential Maximal Function Estimates and the Dirichlet Problem for Non-symmetric Elliptic Operators
We consider divergence form elliptic operators L = − div A(x)∇, defined in the half space Rn+1 + , n ≥ 2, where the coefficient matrix A(x) is bounded, measurable, uniformly elliptic, t-independent, and not necessarily symmetric. We establish square function/non-tangential maximal function estimates for solutions of the homogeneous equation Lu = 0, and we then combine these estimates with the m...
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Let T denote the unit circle and dm the normalized Lebesgue measure on T . For 1 ≤ p ≤ ∞, L stands for L(T, dm). As usual, H is the Hardy subspace of L. Let P : L → H be the orthogonal projection. For f ∈ L, the Toeplitz operator Tf and the Hankel operator Hf are defined by the formulas Tfφ = Pfφ and Hfφ = (1 − P )fφ, φ ∈ H, whenever these expressions make sense. Thus the domains of Tf and Hf c...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2014
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-2014-00805-5