참고문헌 (28)

1. M. Adachi and J. Brinkschulte, A global estimate for the Diederich-Fornaess index of weakly pseudoconvex domains, Nagoya Math. J. 220 (2015), 67-80. 

   상세보기

2. D. E. Barrett, Behavior of the Bergman projection on the Diederich-Fornaess worm, Acta Math. 168 (1992), no. 1-2, 1-10. 

   상세보기

3. M. Behrens, Plurisubharmonic defining functions of weakly pseudoconvex domains in $C^2$ , Math. Ann. 270 (1985), no. 2, 285-296. 

   상세보기

4. B. Berndtsson and P. Charpentier, A Sobolev mapping property of the Bergman kernel, Math. Z. 235 (2000), no. 1, 1-10. 

   상세보기

5. H. P. Boas and E. J. Straube, Sobolev estimates for the ${\bar{\partial}}$ -Neumann operator on domains in $C^n$ admitting a defining function that is plurisubharmonic on the boundary, Math. Z. 206 (1991), no. 1, 81-88. 

   상세보기

6. H. P. Boas and E. J. Straube, de Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the ${\bar{\partial}}$ -Neumann problem, J. Geom. Anal. 3 (1993), no. 3, 225-235. 

   상세보기

7. D. Catlin, Subelliptic estimates for the ${\bar{\partial}}$ -Neumann problem on pseudoconvex domains, Ann. of Math. (2) 126 (1987), no. 1, 131-191. 

   상세보기

8. J.-P. Demailly, Mesures de Monge-Ampere et mesures pluriharmoniques, Math. Z. 194 (1987), no. 4, 519-564. 

   상세보기

9. K. Diederich and J. E. Fornaess, Pseudoconvex domains: an example with nontrivial Nebenhulle, Math. Ann. 225 (1977), no. 3, 275-292. 

   상세보기

10. K. Diederich and J. E. Fornaess, Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions, Invent. Math. 39 (1977), no. 2, 129-141. 

    상세보기

11. K. Diederich and J. E. Fornaess, Pseudoconvex domains: existence of Stein neighborhoods, Duke Math. J. 44 (1977), no. 3, 641-662. 

    상세보기

12. J. E. Fornaess and A.-K. Herbig, A note on plurisubharmonic defining functions in ${\mathbb{C}}^2$ , Math. Z. 257 (2007), no. 4, 769-781. 

    상세보기

13. J. E. Fornaess and A.-K. Herbig, A note on plurisubharmonic defining functions in ${\mathbb{C}}^n$ , Math. Ann. 342 (2008), no. 4, 749-772. 

    상세보기

14. S. Fu and M.-C. Shaw, The Diederich-Fornaess exponent and non-existence of Stein domains with Levi-flat boundaries, J. Geom. Anal. 26 (2016), no. 1, 220-230. 

    상세보기

15. P. S. Harrington, The order of plurisubharmonicity on pseudoconvex domains with Lipschitz boundaries, Math. Res. Lett. 15 (2008), no. 3, 485-490. 

    

16. P. S. Harrington, Bounded plurisubharmonic exhaustion functions for Lipschitz pseudoconvex domains in ${\mathbb{CP}}^n$ , J. Geom. Anal. 27 (2017), no. 4, 3404-3440. 

    상세보기

17. A.-K. Herbig and J. D. McNeal, Convex defining functions for convex domains, J. Geom. Anal. 22 (2012), no. 2, 433-454. 

    상세보기

18. A.-K. Herbig and J. D. McNeal, Oka's lemma, convexity, and intermediate positivity conditions, Illinois J. Math. 56 (2012), no. 1, 195-211 (2013). 

19. N. Kerzman and J.-P. Rosay, Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut, Math. Ann. 257 (1981), no. 2, 171-184. 

    상세보기

20. J. J. Kohn, Quantitative estimates for global regularity, in Analysis and geometry in several complex variables (Katata, 1997), 97-128, Trends Math, Birkhauser Boston, Boston, MA, 1999. 

21. S. G. Krantz and M. M. Peloso, Analysis and geometry on worm domains, J. Geom. Anal. 18 (2008), no. 2, 478-510. 

    상세보기

22. J. M. Lee, Introduction to Smooth Manifolds, second edition, Graduate Texts in Mathematics, 218, Springer, New York, 2013. 

23. J. D. McNeal, Lower bounds on the Bergman metric near a point of finite type, Ann. of Math. (2) 136 (1992), no. 2, 339-360. 

    상세보기

24. A. Noell, Local and global plurisubharmonic defining functions, Pacific J. Math. 176 (1996), no. 2, 421-426. 

    상세보기

25. T. Ohsawa and N. Sibony, Bounded p.s.h. functions and pseudoconvexity in Kahler manifold, Nagoya Math. J. 149 (1998), 1-8. 

    상세보기

26. T. Ohsawa and N. Sibony, Kahler identity on Levi flat manifolds and application to the embedding, Nagoya Math. J. 158 (2000), 87-93. 

    상세보기

27. P. Petersen, Riemannian Geometry, second edition, Graduate Texts in Mathematics, 171, Springer, New York, 2006. 

28. S. Pinton and G. Zampieri, The Diederich-Fornaess index and the global regularity of the ${\bar{\partial}}$ -Neumann problem, Math. Z. 276 (2014), no. 1-2, 93-113. 

    상세보기