Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent
Keyword(s):
We introduce new Besov and Triebel-Lizorkin spaces with variable integrable exponent, which are different from those introduced by the second author early. Then we characterize these spaces by the boundedness of the local Hardy-Littlewood maximal operator on variable exponent Lebesgue space. Finally the completeness and the lifting property of these spaces are also given.
2016 ◽
Vol 23
(3)
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pp. 393-398
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2005 ◽
Vol 30
(1)
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pp. 87
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2012 ◽
Vol 20
(3)
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pp. 5-20
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2020 ◽
Vol 68
(5)
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pp. 1882-1895
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Keyword(s):
2011 ◽
Vol 173
(6)
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pp. 701-716
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