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Area integral estimates for elliptic differential operators with non-smooth coefficients

Area integral estimates for elliptic differential operators with non-smooth coefficients

In this note we shall prove inequalities comparing the area integral and nontangential maximal functions for solutions to second order elliptic equations in a domain in R", in which both the coefficients of the equation and the domain satisfy very weak regularity conditions to be formulated later (cf.[7]).Such inequalities have …