A sharp blow-up estimate for the Lebesgue norm

Academic Article
Publication Date:
2019
abstract:
We prove that if p>1 is psi :] 0, p - 1[->] 0,8[ is nondecreasing,, then sup(0for the study of grand Lebesgue spaces. A number of consequences are discussed, among which: the behavior of the fundamental function of generalized grand Lebesgue spaces, an analogous equivalence in the case the assumption on the monotonicity of ? is dropped, and an optimal estimate of the blow-up of the Lebesgue norms for functions in Orlicz-Zygmund spaces
Iris type:
01.01 Articolo in rivista
Keywords:
Lebesgue spaces; Grand Lebesgue spaces; Euler's Gamma function; Orlicz-Zygmund spaces; Fundamental function; Delta(2) Condition; Norm blow-up; Banach function spaces
List of contributors:
Handle:
https://iris.cnr.it/handle/20.500.14243/364255
Published in:
REVISTA MATEMATICA COMPLUTENSE
Journal