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Journal of Inequalities and Applications

Erschienen in:

Open Access 01.12.2006 | Research Article

Weighted estimates for commutators on nonhomogeneous spaces

verfasst von: Wengu Chen, Bing Zhao

Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2006

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Abstract

Let

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be a Borel measure on

https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F89396/MediaObjects/13660_2005_Article_1651_IEq2_HTML.gif

which may be nondoubling. The only condition that

https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F89396/MediaObjects/13660_2005_Article_1651_IEq3_HTML.gif

must satisfy is

https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F89396/MediaObjects/13660_2005_Article_1651_IEq4_HTML.gif

for any cube

https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F89396/MediaObjects/13660_2005_Article_1651_IEq5_HTML.gif

with sides parallel to the coordinate axes and for some fixed

https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F89396/MediaObjects/13660_2005_Article_1651_IEq6_HTML.gif

with

https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F89396/MediaObjects/13660_2005_Article_1651_IEq7_HTML.gif

. This paper is to establish the weighted norm inequality for commutators of Calderón-Zygmund operators with

https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F89396/MediaObjects/13660_2005_Article_1651_IEq8_HTML.gif

functions by an estimate for a variant of the sharp maximal function in the context of the nonhomogeneous spaces.

Vorheriger Artikel Global integrability of the Jacobian of a composite mapping

Nächster Artikel Approximate solutions of the generalized Gołąb-Schinzel equation

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https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F89396/MediaObjects/13660_2005_Article_1651_IEq11_HTML.gif

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https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F89396/MediaObjects/13660_2005_Article_1651_IEq14_HTML.gif

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https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F89396/MediaObjects/13660_2005_Article_1651_IEq16_HTML.gif

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Titel: Weighted estimates for commutators on nonhomogeneous spaces
verfasst von: Wengu Chen
Bing Zhao
Publikationsdatum: 01.12.2006
Verlag: Springer International Publishing
Erschienen in: Journal of Inequalities and Applications / Ausgabe 1/2006
Elektronische ISSN: 1029-242X
DOI: https://doi.org/10.1155/JIA/2006/89396

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