Weighted $$L_{p,q}$$-estimates for higher order elliptic and parabolic systems with $$\mathrm {BMO}_x$$ coefficients on Reifenberg flat domains

Author:

Choi Jongkeun,Kim Doyoon

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference26 articles.

1. Aimar, H., Macías, R.A.: Weighted norm inequalities for the Hardy–Littlewood maximal operator on spaces of homogeneous type. Proc. Am. Math. Soc. 91(2), 213–216 (1984)

2. Besov, O.V., Il’in, V.P., Nikol’skiĭ, S.M.: Integral representations of functions and imbedding theorems. In: Taibleson, M.H. (ed.) Translated from the Russian, vol. I. Scripta Series in Mathematics. V. H. Winston & Sons, Washington, D.C. (1978)

3. Besov, O.V., Il’in, V.P., Nikol’skiĭ, S.M.: Integral representations of functions and imbedding theorems. In: Taibleson, M.H. (ed.) vol. II. Scripta Series in Mathematics. V. H. Winston & Sons, Washington, D.C.; Halsted Press [John Wiley & Sons], New York-Toronto, Ont.-London (1979)

4. Byun, S.: Optimal $${W}^{1, p}$$ regularity theory for parabolic equations in divergence form. J. Evol. Equ. 7(3), 415–428 (2007)

5. Byun, S., Palagachev, D.K.: Weighted $$L^p$$-estimates for elliptic equations with measurable coefficients in nonsmooth domains. Potential Anal. 41(1), 51–79 (2014)

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