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A note on Riesz fractional integrals in the limiting case alpha(x)p(x) a parts per thousand n
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Abstract(s)
We show that the Riesz fractional integration operator I (alpha(center dot)) of variable order on a bounded open set in Omega aS, a"e (n) in the limiting Sobolev case is bounded from L (p(center dot))(Omega) into BMO(Omega), if p(x) satisfies the standard logcondition and alpha(x) is Holder continuous of an arbitrarily small order.
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Keywords
Lebesgue spaces Variable exponent Operators Convolution
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Versita