Littlewood-Paley Operators on Morrey Spaces with Variable Exponent

By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and gμ*-functions, and their commutat...

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Main Authors: Shuangping Tao, Lijuan Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/790671
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author Shuangping Tao
Lijuan Wang
author_facet Shuangping Tao
Lijuan Wang
author_sort Shuangping Tao
collection DOAJ
description By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and gμ*-functions, and their commutators generated by BMO functions, is obtained on the Morrey spaces with variable exponent.
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-c8494aa916354d5b97bcbd2da9acd5892025-02-03T01:32:43ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/790671790671Littlewood-Paley Operators on Morrey Spaces with Variable ExponentShuangping Tao0Lijuan Wang1College of Mathematics and Statistics Science, Northwest Normal University, Lanzhou 730070, ChinaCollege of Mathematics and Statistics Science, Northwest Normal University, Lanzhou 730070, ChinaBy applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and gμ*-functions, and their commutators generated by BMO functions, is obtained on the Morrey spaces with variable exponent.http://dx.doi.org/10.1155/2014/790671
spellingShingle Shuangping Tao
Lijuan Wang
Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
The Scientific World Journal
title Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title_full Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title_fullStr Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title_full_unstemmed Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title_short Littlewood-Paley Operators on Morrey Spaces with Variable Exponent
title_sort littlewood paley operators on morrey spaces with variable exponent
url http://dx.doi.org/10.1155/2014/790671
work_keys_str_mv AT shuangpingtao littlewoodpaleyoperatorsonmorreyspaceswithvariableexponent
AT lijuanwang littlewoodpaleyoperatorsonmorreyspaceswithvariableexponent