Calderon-Zygmund estimates in generalized Orlicz spaces



: Peter Hästö, Jihoon Ok

Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE

: 2019

: Journal of Differential Equations

: JOURNAL OF DIFFERENTIAL EQUATIONS

: J DIFFER EQUATIONS

: 267

: 5

: 2792

: 2823

: 32

: 0022-0396

DOI: https://doi.org/10.1016/j.jde.2019.03.026


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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