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On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights

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 نشر من قبل Doyoon Kim
 تاريخ النشر 2016
  مجال البحث
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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.

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