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ON L-p-ESTIMATES FOR ELLIPTIC AND PARABOLIC EQUATIONS WITH A(p) WEIGHTS
- Authors
- Dong, Hongjie; Kim, Doyoon
- Issue Date
- 7월-2018
- Publisher
- AMER MATHEMATICAL SOC
- Citation
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.370, no.7, pp.5081 - 5130
- Indexed
- SCIE
SCOPUS
- Journal Title
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- Volume
- 370
- Number
- 7
- Start Page
- 5081
- End Page
- 5130
- ISSN
- 0002-9947
- Abstract
- 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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