On certain nonstandard Calderón-Zygmund operators

Hofmann, Steve

Hofmann, Steve

Studia Mathematica, Tome 108 (1994), p. 105-131 / Harvested from The Polish Digital Mathematics Library

Résumé

We formulate a version of the T1 theorem which enables us to treat singular integrals whose kernels need not satisfy the usual smoothness conditions. We also prove a weighted version. As an application of the general theory, we consider a class of multilinear singular integrals in $ℝ^{n}$ related to the first Calderón commutator, but with a kernel which is far less regular.

Publié le : 1994-01-01

Zbl 0826.42012

EUDML-ID : urn:eudml:doc:216064

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     author = {Steve Hofmann},
     title = {On certain nonstandard Calder\'on-Zygmund operators},
     journal = {Studia Mathematica},
     volume = {108},
     year = {1994},
     pages = {105-131},
     zbl = {0826.42012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv109i2p105bwm}
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Hofmann, Steve. On certain nonstandard Calderón-Zygmund operators. Studia Mathematica, Tome 108 (1994) pp. 105-131. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv109i2p105bwm/

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