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A Note on the Boundedness of the Hilbert Transform in Weighted Grand Lebesgue Spaces
Georgian Mathematical Journal, 2009Vakhtang Kokilashvili, Alexander Meskhi
exaly
Fully measurable grand Lebesgue spaces
Journal of Mathematical Analysis and Applications, 2015exaly
Complex interpolation of grand Lebesgue spaces
Monatshefte Fur Mathematik, 2017Denny Ivanal Hakim, Yoshihiro Sawano
exaly
Greedy bases in variable Lebesgue spaces
Monatshefte Fur Mathematik, 2016David Cruz-Uribe +2 more
exaly
Grand and small norms in Lebesgue spaces
Mathematical Methods in the Applied SciencesAlexey Karapetyants
exaly
Multipliers for Pairs of Grand and Small Lebesgue Space for $$p \in (1, \infty )$$
Potential Analysisopenaire +1 more source
On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces
Tbilisi Mathematical Journal, 2020exaly
Relatively compact sets in variable-exponent Lebesgue spaces
Banach Journal of Mathematical Analysis, 2018exaly
Embeddings between grand, small, and variable Lebesgue spaces [PDF]
Mathematical Notes, 2017 We give conditions on the exponent function $p(\cdot)$ that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that our results are close to optimal.
Cruz-Uribe, David +2 more
exaly +5 more sources
On small Lebesgue spaces [PDF]
Journal of Function Spaces and Applications, 2005 We consider a generalized version of the small Lebesgue spaces, introduced in [5] 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 ...
Claudia Capone, Alberto Fiorenza
doaj +4 more sources