We consider a generalized version of the small Lebesgue spaces, introduced by Fiorenza as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss the comparison with the Orlicz spaces
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
SIGLEAvailable from INIST (FR), Document Supply Service, under shelf-number : 22466, issue : a.2001 ...
We prove that if 1 < p< ∞ and δ:] 0 , p- 1] →] 0 , ∞[is continuous, nondecreasing, and satisfies the...
We consider a generalized version of the small Lebesgue spaces, introduced by Fiorenza as the associ...
We give equivalent, explicit expressions for the norms of the small and grand Lebesgue spaces, which...
The norm of the grand Lebesgue spaces is defined through the supremum of Lebesgue norms, balanced by...
Let Ω ⊂ Rn be of finite Lebesgue measure and 1 0 is embedded in the space L(p(Ω), which again is em...
International audienceIn this paper we show, by elementary methods, that the quasinorms of the grand...
We build a new class of Banach function spaces, whose function norm isρ(p[⋅],δ[⋅](f)=inff=∑k=1∞fk∑k...
We give conditions on the exponent function p( · ) that imply the existence of embeddings between t...
This paper is essentially a survey on grand and small Lebesgue spaces, which are rearran\-gement-inv...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
SIGLEAvailable from INIST (FR), Document Supply Service, under shelf-number : 22466, issue : a.2001 ...
We prove that if 1 < p< ∞ and δ:] 0 , p- 1] →] 0 , ∞[is continuous, nondecreasing, and satisfies the...
We consider a generalized version of the small Lebesgue spaces, introduced by Fiorenza as the associ...
We give equivalent, explicit expressions for the norms of the small and grand Lebesgue spaces, which...
The norm of the grand Lebesgue spaces is defined through the supremum of Lebesgue norms, balanced by...
Let Ω ⊂ Rn be of finite Lebesgue measure and 1 0 is embedded in the space L(p(Ω), which again is em...
International audienceIn this paper we show, by elementary methods, that the quasinorms of the grand...
We build a new class of Banach function spaces, whose function norm isρ(p[⋅],δ[⋅](f)=inff=∑k=1∞fk∑k...
We give conditions on the exponent function p( · ) that imply the existence of embeddings between t...
This paper is essentially a survey on grand and small Lebesgue spaces, which are rearran\-gement-inv...
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are ...
SIGLEAvailable from INIST (FR), Document Supply Service, under shelf-number : 22466, issue : a.2001 ...
We prove that if 1 < p< ∞ and δ:] 0 , p- 1] →] 0 , ∞[is continuous, nondecreasing, and satisfies the...
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