Affinity kernels on measure spaces and maximal operators

Autor: Hugo Aimar, Ivana Gómez, Luis Nowak

Publikováno v: Revista de la Unión Matemática Argentina. :489-503

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a42bdba34f475af434ae8fd605402a4c
https://doi.org/10.33044/revuma.2518

On the geometry of spaces of homogeneous type and the democracy of Haar systems in Lorentz spaces

Autor: Luis Nowak, A. L. Bernardis, Hugo Aimar

We explore the relation of the geometric structure of the underlying space and the democratic character of Haar systems in Lorentz spaces. We show that, aside from homogeneity, some particular behavior of the space at large scales is required to reco

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2413fd170e3f8191f94c47efd318a01
https://www.sciencedirect.com/science/article/pii/S0022247X19302719?via=ihub

On Haar bases for generalized dyadic Hardy spaces

Autor: Luis Nowak, Hugo Aimar, A. L. Bernardis

Publikováno v: Rocky Mountain J. Math. 43, no. 3 (2013), 697-712
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In this note we prove that Haar type systems are unconditional basis in the generalized dyadic Hardy space HD 1 in the setting of spaces of homogeneous type. As a consequence, we obtain an alternative proof of the unconditionality of such basis in Le

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::16c28f9465e73355caa97ed0dcd3a17e
https://doi.org/10.1216/rmj-2013-43-3-697