Calderón-Zygmund estimates for double phase problems with matrix weights

Sun-Sig Byun, Yumi Cho, Seungjin Ryu

We establish an optimal Calderón-Zygmund theory for nonuniformly elliptic double phase problems with matrix weights. For $1<p<q<\infty$, $a(\cdot )\in C^{0,\hat{I}\pm }(\hat{I}\text{c◯})$ ($0<\hat{I}\pm \le 1$), a…