Calderon-Zygmund estimates in generalized Orlicz spaces

被引：25
|
作者：
Hasto, Peter [1 ,2 ]
Ok, Jihoon [3 ,4 ]
机构：
[1] Univ Turku, Dept Math & Stat, FI-20014 Turku, Finland
[2] Univ Oulu, Dept Math, FI-90014 Oulu, Finland
[3] Kyung Hee Univ, Dept Appl Math, Yongin 17104, South Korea
[4] Kyung Hee Univ, Inst Nat Sci, Yongin 17104, South Korea
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 05期
基金：
新加坡国家研究基金会;
关键词：
Second order equations; Generalized Orlicz spaces; Calderon-Zygmund estimates; ELLIPTIC-EQUATIONS; PARABOLIC EQUATIONS; MEASURABLE COEFFICIENTS; VARIABLE EXPONENT; MAXIMAL OPERATOR; REGULARITY; FUNCTIONALS; SOBOLEV; MINIMIZERS; VMO;
D O I：
10.1016/j.jde.2019.03.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the W-2,W-phi(.)-solvability of the linear elliptic equations in non-divergence form under a suitable, essentially minimal, condition of the generalized Orlicz function phi(.) = phi(x, t), by deriving Calderon-Zygmund type estimates. The class of generalized Orlicz spaces we consider here contains as special cases classical Lebesgue and Orlicz spaces, as well as non-standard growth cases like variable exponent and double phase growth. (C) 2019 Elsevier Inc. All rights reserved.
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页码：2792 / 2823
页数：32
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