@article{203c3440b33b49adbe35dcb080035d0c,
title = "On Lp -estimates for elliptic and parabolic equations with Ap weights",
abstract = "We prove generalized Fefferman-Stein type theorems on sharp functions with Ap weights in spaces of homogeneous type with either finite or infinite underlying measure. We then apply these results to establish mixed-norm weighted Lp -estimates for elliptic and parabolic equations/systems with (partially) BMO coefficients in regular or irregular domains.",
author = "Hongjie Dong and Doyoon Kim",
note = "Funding Information: Received by the editors January 4, 2016, and, in revised form, November 11, 2016 and December 22, 2016. 2010 Mathematics Subject Classification. Primary 35R05, 42B37, 35B45, 35K25, 35J48. The first author was partially supported by the NSF under agreement DMS-1056737. The second author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2014R1A1A2054865). Publisher Copyright: {\textcopyright} 2018 American Mathematical Society.",
year = "2018",
month = jul,
doi = "10.1090/tran/7161",
language = "English",
volume = "370",
pages = "5081--5130",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "7",
}