A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
A Fundamental Condition for Harmonic Analysis in Anisotropic Generalized Orlicz Spaces
Tekijät: Hästö Peter A.
Kustantaja: SPRINGER
Julkaisuvuosi: 2023
Journal: Journal of Geometric Analysis
Tietokannassa oleva lehden nimi: JOURNAL OF GEOMETRIC ANALYSIS
Lehden akronyymi: J GEOM ANAL
Artikkelin numero: 7
Vuosikerta: 33
Numero: 1
Sivujen määrä: 15
ISSN: 1050-6926
eISSN: 1559-002X
DOI: https://doi.org/10.1007/s12220-022-01052-5
Verkko-osoite: https://link.springer.com/article/10.1007/s12220-022-01052-5
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/178720987
Anisotropic generalized Orlicz spaces have been investigated in many recent papers, but the basic assumptions are not as well understood as in the isotropic case. We study the greatest convex minorant of anisotropic Phi-functions and prove the equivalence of two widely used conditions in the theory of generalized Orlicz spaces, usually called (A1) and (M). This provides a more natural and easily verifiable condition for use in the theory of anisotropic generalized Orlicz spaces for results such as Jensen's inequality which we obtain as a corollary.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
