메뉴 건너뛰기




Volumn 221, Issue 2, 2005, Pages 323-339

Limits of higher-order Besov spaces and sharp reiteration theorems

Author keywords

Besov spaces; Embeddings; Interpolation; Sobolev spaces

Indexed keywords


EID: 14644393030     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2004.06.017     Document Type: Article
Times cited : (34)

References (16)
  • 3
    • 0036433741 scopus 로고    scopus 로고
    • Limiting embedding theorems for Ws,p when s→1 and applications
    • J. Bourgain H. Brézis P. Mironescu Limiting embedding theorems for W s, p when s → 1 and applications J. Anal. Math. 87 2002 77-101
    • (2002) J. Anal. Math. , vol.87 , pp. 77-101
    • Bourgain, J.1    Brézis, H.2    Mironescu, P.3
  • 4
    • 0002640998 scopus 로고    scopus 로고
    • Another look at Sobolev spaces
    • J.L. Menaldi E. Rofman A. Sulem (Eds.) IOS Press a volume in honor of A. Bensoussan's 60th birthday
    • J. Bourgain H. Brézis P. Mironescu Another look at Sobolev spaces in: J.L. Menaldi E. Rofman A. Sulem (Eds.) Optimal Control and Partial Differential Equations, a volume in honor of A. Bensoussan's 60th birthday 2001 IOS Press 439-455
    • (2001) Optimal Control and Partial Differential Equations , pp. 439-455
    • Bourgain, J.1    Brézis, H.2    Mironescu, P.3
  • 5
    • 0141580732 scopus 로고    scopus 로고
    • How to recognize constant function. A connection with Sobolev spaces
    • Volume in honor of M. Vishnik (Eng. trans. Russian Math. Surveys, 57 (2002) 693-708)
    • H. Brézis How to recognize constant function. A connection with Sobolev spaces, Volume in honor of M. Vishnik, Uspekhi Mat. Nauk 57 (2002) 59-74 (Eng. trans. Russian Math. Surveys, 57 (2002) 693-708)
    • (2002) Uspekhi Mat. Nauk , vol.57 , pp. 59-74
    • Brézis, H.1
  • 7
    • 0042579461 scopus 로고    scopus 로고
    • Lipschitz functions and fractional Sobolev spaces
    • F. Hirsch Lipschitz functions and fractional Sobolev spaces Potential Anal. 11 1999 415-429
    • (1999) Potential Anal. , vol.11 , pp. 415-429
    • Hirsch, F.1
  • 8
    • 14644434060 scopus 로고
    • On a new characteristic of functions
    • K.G. Ivanov On a new characteristic of functions Serdica Bulger. Math. Publ. 8 1982 262-279
    • (1982) Serdica Bulger. Math. Publ. , vol.8 , pp. 262-279
    • Ivanov, K.G.1
  • 9
    • 12744251390 scopus 로고    scopus 로고
    • Extrapolation theory: New results and applications
    • Institute of Mathematics and Informatics, Bulgarian Academy of Science, preprint no. 1
    • G.E. Karadzhov M. Milman Extrapolation theory: New results and applications, Institute of Mathematics and Informatics, Bulgarian Academy of Science, preprint no. 1, 2002
    • (2002)
    • Karadzhov, G.E.1    Milman, M.2
  • 10
    • 14644421874 scopus 로고    scopus 로고
    • On limiting embeddings of Besov spaces
    • preprint
    • V.I. Kolyada A.K. Lerner On limiting embeddings of Besov spaces, preprint
    • Kolyada, V.I.1    Lerner, A.K.2
  • 11
    • 0037058485 scopus 로고    scopus 로고
    • On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
    • V. Maz'ya T. Shaposhnikova On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces J. Funct. Anal. 195 2002 230-238
    • (2002) J. Funct. Anal. , vol.195 , pp. 230-238
    • Maz'ya, V.1    Shaposhnikova, T.2
  • 12
    • 14644414500 scopus 로고    scopus 로고
    • Erratum to "On J. Bourgain, H. Brézis and P. Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces"
    • V. Maz'ya T. Shaposhnikova Erratum to "On J. Bourgain, H. Brézis and P. Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces" J. Funct. Anal. 201 2003 298-300
    • (2003) J. Funct. Anal. , vol.201 , pp. 298-300
    • Maz'ya, V.1    Shaposhnikova, T.2
  • 13
    • 25144525131 scopus 로고    scopus 로고
    • Notes on limits of Sobolev spaces and the continuity of interpolation scales
    • to appear
    • M. Milman Notes on limits of Sobolev spaces and the continuity of interpolation scales, Trans. Amer. Math. Soc., to appear
    • Trans. Amer. Math. Soc.
    • Milman, M.1
  • 16
    • 0039985113 scopus 로고
    • Inequalities in rearrangement invariant function spaces
    • N. Kebec A. Kufner B. Opic J. Rákosnik (Eds.) Prometheus Prague
    • G. Talenti Inequalities in rearrangement invariant function spaces in: N. Kebec A. Kufner B. Opic J. Rákosnik (Eds.) Nonlinear Analysis and Function Spaces, vol. 5 1994 Prometheus Prague 177-230
    • (1994) Nonlinear Analysis and Function Spaces , vol.5 , pp. 177-230
    • Talenti, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.