ON L-p-ESTIMATES FOR ELLIPTIC AND PARABOLIC EQUATIONS WITH A(p) WEIGHTS

초록

We prove generalized Fefferman-Stein type theorems on sharp functions with A(p) weights in spaces of homogeneous type with either finite or infinite underlying measure. We then apply these results to establish mixed-norm weighted L-p-estimates for elliptic and parabolic equations/systems with (partially) BMO coefficients in regular or irregular domains.

키워드