A note on Riesz fractional integrals in the limiting case alpha(x)p(x) a parts per thousand n

作者：Samko Stefan^*

来源：Journal of Fractional Calculus and Applied Analysis, 2013, 16(2): 370-377.

DOI：10.2478/s13540-013-0023-x

• fractional integral
• Riesz potential
• variable exponent Lebesgue space
• variable order
• BMO

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.

• 出版日期2013-6