On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝn
2010 ◽
Vol 53
(1)
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pp. 211-237
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AbstractWe establish the continuity of the Hardy-Littlewood maximal operator on W1,p(Ω), where Ω ⊂ ℝn is an arbitrary subdomain and 1 < p < ∞. Moreover, boundedness and continuity of the same operator is proved on the Triebel-Lizorkin spaces Fps,q (Ω) for 1 < p,q < ∞ and 0 < s < 1.
2016 ◽
Vol 22
(6)
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pp. 1431-1439
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Keyword(s):
2001 ◽
Vol 19
(4)
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pp. 369-371
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2012 ◽
Vol 23
(4)
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pp. 1832-1850
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1983 ◽
Vol 279
(1)
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pp. 51-51
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Symmetrization and norm of the Hardy-Littlewood maximal operator on Lorentz and Marcinkiewicz spaces
2008 ◽
Vol 77
(2)
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pp. 349-362
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1997 ◽
Vol 40
(1)
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pp. 193-205
Keyword(s):