Hölder Type Estimates for the ∂ ¯ -equation in Strongly Pseudoconvex Domains

Heungju Ahn; Hong Rae Cho; Jong-Do Park

Rendiconti del Seminario Matematico della Università di Padova (2008)

  • Volume: 120, page 127-138
  • ISSN: 0041-8994

How to cite

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Ahn, Heungju, Cho, Hong Rae, and Park, Jong-Do. "Hölder Type Estimates for the $\overline{\partial }$-equation in Strongly Pseudoconvex Domains." Rendiconti del Seminario Matematico della Università di Padova 120 (2008): 127-138. <http://eudml.org/doc/108737>.

@article{Ahn2008,
author = {Ahn, Heungju, Cho, Hong Rae, Park, Jong-Do},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {-equation; Hölder estimates; regular majorant; strongly pseudoconvex domain},
language = {eng},
pages = {127-138},
publisher = {Seminario Matematico of the University of Padua},
title = {Hölder Type Estimates for the $\overline\{\partial \}$-equation in Strongly Pseudoconvex Domains},
url = {http://eudml.org/doc/108737},
volume = {120},
year = {2008},
}

TY - JOUR
AU - Ahn, Heungju
AU - Cho, Hong Rae
AU - Park, Jong-Do
TI - Hölder Type Estimates for the $\overline{\partial }$-equation in Strongly Pseudoconvex Domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2008
PB - Seminario Matematico of the University of Padua
VL - 120
SP - 127
EP - 138
LA - eng
KW - -equation; Hölder estimates; regular majorant; strongly pseudoconvex domain
UR - http://eudml.org/doc/108737
ER -

References

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  1. [CS01] SO-CHIN CHEN - MEI-CHI SHAW, Partial differential equations in several complex variables, AMS/IP Studies in Advanced Mathematics, vol. 19, American Mathematical Society, Providence, RI, 2001. Zbl0963.32001MR1800297
  2. [Dya97] K.M. DYAKONOV, Equivalent norms on Lipschitz-type spaces of holomorphic functions, Acta Math. 178, no. 2 (1997), pp. 143-167. Zbl0898.30040MR1459259
  3. [For76] J.E. FORNAESS, Embedding strictly pseudoconvex domains in convex domains, Amer. J. Math. 98, no. 2 (1976), pp. 529-569. Zbl0334.32020MR422683
  4. [HL84] G. HENKIN - J. LEITERER, Theory of functions on complex manifolds, Monographs in Mathematics, vol. 79, Birkhäuser Verlag, Basel, 1984. Zbl0573.32001MR795028
  5. [LR80] I. LIEB - R.M. RANGE, Lösungsoperatoren für den Cauchy-RiemannKomplex mit Ck -A bschätzungen, Math. Ann. 253, no. 2 (1980), pp. 145-164. Zbl0441.32007MR597825
  6. [Pav04] M. PAVLOVIĆ, Introduction to function spaces on the disk, Posebna Izdanja [Special Editions], vol. 20, MatematicÏki Institut SANU, Belgrade, 2004. MR2109650
  7. [Ran86] M. RANGE, Holomorphic functions and integral representations in several complex variables, Springer Verlag, Berlin, 1986. Zbl0591.32002MR847923
  8. [Ran92] R.M. RANGE, On Hölder and BMO estimates for ∂ ¯ on convex domains in C2, Jour. Geom. Anal. 2 (1992), pp. 575-584. Zbl0768.32013MR1189045
  9. [RH71] A.V. ROMANOV - G.M. HENKIN, Exact Hölder estimates of the solutions of the ∂ ¯ -equation, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), pp. 1171-1183. Zbl0218.35069MR293121

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