Let be a measurable function on with. We introduce the variable Hardy–Lorentz space for
via the radial grand maximal function. Under the assumption that satisfies the log‐Hölder …

In this paper, we investigate the Hardy–Lorentz–Karamata spaces for Banach space-valued
martingales. Relying on the geometrical properties of the underlying Banach spaces, we …

Abstract Let (Ω, F, P) be a complete probability space. We introduce variable Lorentz space
L p (⋅), q (Ω) defined by rearrangement functions and its related properties. Then, we …

Abstract Let (Ω, F, P) (Ω,F,P) be a complete probability space and let p (·), q (·): 0, 1→(0,∞)
p(⋅),q(⋅):0,1→(0,∞) be two variable exponents. In this paper, we investigate several new …

[eng] An important result in Harmonic Analysis is the extrapolation theorem of Rubio de
Francia. In its original version says that if T is a sublinear operator that is bounded in Lp0 …

L'objectif de cette thèse est d'étudier un ensemble de problèmes liés aux espaces de
Lebesgue à exposant variable. Dans un premier temps, nous étudions les espaces de …

One-Sided Hardy-Littlewood Maximal Function on Generalised Lorentz Spaces | SpringerLink
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In this talk we will deal with weighted inequalities for the Hardy Littlewood maximal operator,
M. Recall that:(i) The boundedness of M on Lebesgue spaces Lp (u) is characterized by the …