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New local T 1 theorems on non-homogeneous spaces
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Villarroya, Paco (Santa Clara University (Santa Clara, Estats Units d'Amèrica). Department of Applied Mathematics)
We develop new local T1 theorems to characterize Calder'on-Zygmund operators that extend boundedly or compactly on Lp(Rn, µ), with µ a measure of power growth. The results, whose proofs do not require random grids, have weaker hypotheses than previously known local T1 theorems since they only require a countable collection of testing functions. [...]
2024
Publicacions matemàtiques, Vol. 68 Núm. 2 (2024) , p. 445-506 (Articles)
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33 p, 532.6 KB |
A combinatorial characterisation of d-Koszul and ( D, A ) -stacked monomial algebras that satisfy ( Fg )
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Jawad, Ruaa (Middle Technical University (Bagdad, Iraq)) ;
Snashall, Nicole (University of Leicester (Leicester, Regne Unit). School of Computing and Mathematical Sciences) ;
Taillefer, Rachel (Université Clermont Auvergne)
Condition (Fg) was introduced in [6] to ensure that the theory of support varieties of a finite-dimensional algebra, established by Snashall and Solberg, has some similar properties to that of a group algebra. [...]
2024
Publicacions matemàtiques, Vol. 68 Núm. 2 (2024) , p. 559-591 (Articles)
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23 p, 397.3 KB |
Summability and duality
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Ghara, Soumitra (Université Laval (Quebec, Canadà). Département de mathématiques et de statistique) ;
Mashreghi, Javad (Université Laval (Quebec, Canadà). Département de mathématiques et de statistique) ;
Ransford, Thomas (Université Laval (Quebec, Canadà). Département de mathématiques et de statistique)
We formalize the observation that the same summability methods converge in a Banach space X and its dual X∗. At the same time we determine conditions under which these methods converge in weak and weak* topologies on X and X∗ respectively. [...]
2024
Publicacions matemàtiques, Vol. 68 Núm. 2 (2024) , p. 407-429 (Articles)
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