In this paper,C1,1 regularity for solutions to the degenerate dual Orlicz-Minkowski problem is considered.The dual Orlicz-Minkowski problem is a generalization of the Lp dual Minkowski problem in convex geometry.The p...
partially supported by the National Key Research and Development Program of China(Grant No.2020YFA0712900);the National Natural Science Foundation of China(Grant Nos.12371093,12071197,and 12122102);the Fundamental Research Funds for the Central Universities(Grant No.2233300008);partially supported by a McDevitt Endowment Fund at Georgetown University。
Let q∈(0,∞]andϕbe a Musielak-Orlicz function with uniformly lower type p_(ϕ)^(−)∈(0,∞)and uniformly upper type p_(ϕ)^(−)∈(0,∞).In this article,the authors establish various realvariable characterizations of the ...
Supported by NSFC(Grant No.11771273);National Science Research Project of Anhui Educational Department(Grant No.KJ2019A0487)。
K-UR,K-LUR and K-R are the generalizations of UR,LUR and R respectively,which are of great significance in Banach space theory.While in Orlicz–Lorentz function spaceΛ_(ϕ,ω)^(◦)[0,γ)equipped with the Orlicz norm,th...
supported by the National Natural Science Foundation of China(11801001,12101223);the Scientific Research Fund of Hunan Provincial Education Department(20C0780);the Natural Science Foundation of Hunan Province(2022JJ40145,2022JJ40146)。
Let 1≤q≤∞,b be a slowly varying function and letΦ:[0,∞)■[0,∞)be an increasing convex function withΦ(0)=0 and■Φ(r)=∞.In this paper,we present a new class of Doob’s maximal inequality on Orlicz-Lorentz-Karam...