The John-Nirenberg type inequality for non-doubling measures
Yoshihiro Sawano ; Hitoshi Tanaka
Studia Mathematica, Tome 178 (2007), p. 153-170 / Harvested from The Polish Digital Mathematics Library
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X. Tolsa defined a space of BMO type for positive Radon measures satisfying some growth condition on ℝd. This new BMO space is very suitable for the Calderón-Zygmund theory with non-doubling measures. Especially, the John-Nirenberg type inequality can be recovered. In the present paper we introduce a localized and weighted version of this inequality and, as applications, we obtain some vector-valued inequalities and weighted inequalities for Morrey spaces.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:284558 
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     title = {The John-Nirenberg type inequality for non-doubling measures},
     journal = {Studia Mathematica},
     volume = {178},
     year = {2007},
     pages = {153-170},
     zbl = {1135.42012},
     language = {en},
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Yoshihiro Sawano; Hitoshi Tanaka. The John-Nirenberg type inequality for non-doubling measures. Studia Mathematica, Tome 178 (2007) pp. 153-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm181-2-3/