Harjulehto, Petteri; Hästö, Peter Extension in generalized Orlicz spaces. (English) Zbl 1457.46038 Nonlinear Stud. 26, No. 4, 861-868 (2019). Summary: We prove that a \(\Phi\)-function can be extended from a domain \(\Omega\) to all of \(\mathbb{R}^n\) while preserving crucial properties for harmonic analysis on the generalized Orlicz space \(L^\Phi\). Cited in 3 Documents MSC: 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 26B25 Convexity of real functions of several variables, generalizations Keywords:Orlicz space; Musielak-Orlicz spcae; Phi-function; extension PDFBibTeX XMLCite \textit{P. Harjulehto} and \textit{P. Hästö}, Nonlinear Stud. 26, No. 4, 861--868 (2019; Zbl 1457.46038) Full Text: arXiv Link