충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제36권2호
  • /
  • Pages.87-91
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  • 2023
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
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FINITE DIMENSIONAL SUBSPACES OF A BESOV SPACE

  • Hee Chul Pak (Department of Mathematics Dankook University)
  • 투고 : 2023.04.15
  • 심사 : 2023.05.16
  • 발행 : 2023.05.30
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초록

It is concerned with the size of bounded functions in Besov spaces. It reports that every closed subspace consisted with bounded functions in Besov spaces Bsp,p(𝕋d) (s < 0) is finite dimensional.

키워드

과제정보

This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2021R1I1A305247113).

참고문헌

  1. O. V. Besov, On a family of function spaces. Embedding theorems and applications (in Russian), Dokl. Akad. Nauk SSSR, 126 (1959), 1163-1165.
  2. O. V. Besov, On a family of function spaces in connection with embeddings and extensions (in Russian), Trudy Mat. Inst. Steklov, 60 (1961), 42-81.
  3. H. Han, H. Pak, Resolvent inequality of Laplacian in Besov spaces, J. Chungcheong Math. Soc., 22 (2009), 117-121.
  4. L. Hormander, Linear Partial Differential Operators, Springer-Verlag, Berlin-Gottingen-Heidelberg, 1963.
  5. J. Peetre, Sur les espaces de Besov, C. R. Acad. Sci. Paris, 264 (1967), 281-283.
  6. H. Triebel, Theory of function spaces II, Birkhauser, 1992.