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Weighted $L^p$ estimates for $\bar\partial$ on a convex domain with piecewise smooth boundary in $\mathbb C^2$

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Abstract

We obtain weighted Lp estimates (1 · p < 1) for @ on convex domains with piecewise smooth boundaries in C2 by using explicit formulas of solutions introduced by Berndtsson and Andersson.

참고문헌 (13)

  1. "Zero sets of holomorphic functions in the Nevanlinna type classon convex domains in C2", 28(2), pp.245~260 (2002)
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  3. "Support functions for convex domains of nite type", 230(1), pp.145~164 (1999)
  4. "Uniform estimates for the Cauchy-Riemann equa-tion on q-convex wedges", gre(ble) (1993)
  5. "Estimations pour la r´esolution du@ sur une intersection d’ouverts srtictmentpseudoconvexes", 225(1), pp.87~93 (1997)
  6. "Ck-regularity for the@-equation on strictly pseudoconvexdomains with piecewise smooth boundaries" (1990)
  7. "The@ problem on domains with piecewise smooth boundarieswith applications", 351(11), pp.4365~4380 (1999)
  8. "The Cauchy-Riemann equation in convex domains" (1991)
  9. "On H ¨older and BMO estimates for@ on convex domains in C2" (1992)
  10. "On@-problems on (pseudo)-convex domains, Topics in complex analysis (War-saw, 1992)", 31, pp.311~320 (1995), Polish Acad. Sci., Warsaw
  11. "The Carath´eodory metric and holomorphic maps on a class of weakly pseudo-convex domains" (1978)
  12. "Uniform estimates for the@-equation on domains withpiecewise smooth strictly pseudoconvex boundaries" (1973)
  13. "Estimations Ck pour l’op´erateur de Cauchy-Riemann sur des domaines `acoins q-convexes etq-concaves", 244(2), pp.349~398 (2003)

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