대한수학회지 (Journal of the Korean Mathematical Society)

  • 제40권3호
  • /
  • Pages.435-445
  • /
  • 2003
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

SOBOLEV-TYPE EMBEDDING THEOREMS FOR HARMONIC AND HOLOMORPHIC SOBOLEV SPACES

  • Cho, Hong-Rae (Department of Mathematics Pusan National University) ;
  • Kwon, Ern-Gun (Department of Mathematics Education Andong National University)
  • 발행 : 2003.05.06
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we consider Sobolev-type embedding theorems for harmonic and holomorphic Sobolev spaces on a bounded domain with $C^2$ boundary.

키워드

참고문헌

  1. F. Beatrous, $L^p$ estimates for extensions of holomorphic functions, Michigan Math. J. 32 (1985), 361–380. https://doi.org/10.1307/mmj/1029003244
  2. F. Beatrous, Estimates for derivatives of holomorphic functions in pseudoconvex domains, Math. Z. 191 (1986), 91-116. https://doi.org/10.1007/BF01163612
  3. F. Beatrous and J. Burbea, Holomorphic Sobolev spaces on the ball, Dissertationes Math. 256 (1989), 1-57.
  4. H. R. Cho and E. G. Kwon, Growth rate of the functions in Bergman type spaces, submitted
  5. W. Rudin, Function theory in the unit ball of $C^n$, Spinger-Verlag, New York, 1980
  6. E. M. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, N.J., 1970

피인용 문헌

  1. The Mixed Norm Spaces of Polyharmonic Functions vol.27, pp.2, 2007, https://doi.org/10.1007/s11118-007-9045-5