Continuity Points Via Riesz Potentials for ℂ-Elliptic Operators
Keyword(s):
Abstract We establish a Riesz potential criterion for Lebesgue continuity points of functions of bounded $\mathbb{A}$-variation, where $\mathbb{A}$ is a $\mathbb{C}$-elliptic differential operator of arbitrary order. This result generalizes a potential criterion that is known for full gradients to the case where full gradient estimates are not available by virtue of Ornstein’s non-inequality.
2003 ◽
Vol 133
(6)
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pp. 1299-1310
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1957 ◽
Vol 43
(7)
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pp. 620-620
2010 ◽
Vol 62
(1)
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pp. 1-14
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