The method of rotation and Marcinkiewicz integrals on product domains
Jiecheng Chen ; Dashan Fan ; Yiming Ying
Studia Mathematica, Tome 151 (2002), p. 41-58 / Harvested from The Polish Digital Mathematics Library
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We give some rather weak sufficient condition for Lp boundedness of the Marcinkiewicz integral operator μΩ on the product spaces ℝⁿ×ℝm (1 < p < ∞), which improves and extends some known results.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:284751 
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     title = {The method of rotation and Marcinkiewicz integrals on product domains},
     journal = {Studia Mathematica},
     volume = {151},
     year = {2002},
     pages = {41-58},
     zbl = {1021.42004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm153-1-4}
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Jiecheng Chen; Dashan Fan; Yiming Ying. The method of rotation and Marcinkiewicz integrals on product domains. Studia Mathematica, Tome 151 (2002) pp. 41-58. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm153-1-4/