Littlewood-Paley g-functions with rough kernels on homogeneous groups
Yong Ding ; Xinfeng Wu
Studia Mathematica, Tome 192 (2009), p. 51-86 / Harvested from The Polish Digital Mathematics Library
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Let 𝔾 be a homogeneousgroup on ℝⁿ whose multiplication and inverse operations are polynomial maps. In 1999, T. Tao proved that the singular integral operator with Llog⁺L function kernel on ≫ is both of type (p,p) and of weak type (1,1). In this paper, the same results are proved for the Littlewood-Paley g-functions on 𝔾

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:286452 
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     title = {Littlewood-Paley g-functions with rough kernels on homogeneous groups},
     journal = {Studia Mathematica},
     volume = {192},
     year = {2009},
     pages = {51-86},
     zbl = {1178.42017},
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Yong Ding; Xinfeng Wu. Littlewood-Paley g-functions with rough kernels on homogeneous groups. Studia Mathematica, Tome 192 (2009) pp. 51-86. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm195-1-4/