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The quasihyperbolic metric and analogues of the Hardy-Littlewood property for $\alpha =0$ in uniformly John domains

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Abstract

We characterize the class of uniformly John domainsin terms of the quasihyperbolic metric and from the result we getsome analogues of the Hardy-Littlewod property for = 0 inuniformly John domains.

참고문헌 (10)

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  3. 3} \by F. W. Gehring, "K. Hag", and O. Martio \paper Quasihyperbolic geodesics in John domains \jour Math. Scand. \vol 65 \yr 1989 \pages no. 1
  4. "8} \by G. H. Hardy and J. E. Littlewood\paper Some properties of fractional integrals. II \jour Math. Z. \vol 34 \yr 1932 \pages no. 1", pp.403~439
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  6. _, "Hardy-Littlewood property with the inner length metric", 19(1), pp.53~62 (2004)
  7. K. Kim, "Harmonic measure and hyperbolic distance in John disks", 83(2), pp.283~299 (1998)
  8. "The quasihyperbolic metric, growth, and John domains" (1996), University of Michigan
  9. "The quasihyperbolic metric, growth, and John domains", (1), pp.205~224 (1998)
  10. "John disks", 9, pp.3~

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