메뉴 건너뛰기




Volumn 11, Issue 6, 1999, Pages 647-658

Weighted Sobolev interpolation inequalities on product spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033477453     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.1999.017     Document Type: Article
Times cited : (4)

References (23)
  • 1
    • 0001793269 scopus 로고
    • Remarks on Sobolev imbedding inequalities
    • Springer-Verlag
    • Bojarski, Bogdan: Remarks on Sobolev imbedding inequalities. Complex Analysis, Lecture Notes in Math. 1351. Springer-Verlag 1989, 52-68
    • (1989) Complex Analysis, Lecture Notes in Math , vol.1351 , pp. 52-68
    • Bojarski, B.1
  • 3
    • 0001580578 scopus 로고
    • Weighted poincaré and Sobolev inequalities and estimates for the peano maximal functions
    • Sagun, Chanillo and Richard L. Wheeden: Weighted Poincaré and Sobolev inequalities and estimates for the Peano maximal functions. Amer. J. Math. 107 (1985), 1191-1226
    • (1985) Amer. J. Math. , vol.107 , pp. 1191-1226
    • Sagun, C.1    Wheeden, R.L.2
  • 4
    • 0007222418 scopus 로고
    • Extension theorems on weighted Sobolev spaces
    • Chua, Seng-Kee: Extension theorems on weighted Sobolev spaces. Indiana Math. J. 41 (1992), 1027-1076
    • (1992) Indiana Math. J. , vol.41 , pp. 1027-1076
    • Chua, S.-K.1
  • 5
    • 84968517759 scopus 로고
    • Weighted Sobolev's inequalities on domains satisfying the chain condition
    • Chua, Seng-Kee: Weighted Sobolev's inequalities on domains satisfying the chain condition. Proc. Amer. Math. Soc. 117 (1993), 449-457
    • (1993) Proc. Amer. Math. Soc. , vol.117 , pp. 449-457
    • Chua, S.-K.1
  • 6
    • 0007151031 scopus 로고
    • Weighted Sobolev's inequalities on certain domains
    • Chua, Seng-Kee: Weighted Sobolev's inequalities on certain domains. J. London Math. Soc. (2) 51 (1995), 532-544
    • (1995) J. London Math. Soc. (2) , vol.51 , pp. 532-544
    • Chua, S.-K.1
  • 7
    • 84972493816 scopus 로고    scopus 로고
    • Weighted Sobolev inequalities of mixed norm
    • Chua, Seng-Kee: Weighted Sobolev inequalities of mixed norm. Real Anal. Exchange 21 (95/96), 555-571
    • Real Anal. Exchange , vol.21 , Issue.95-96 , pp. 555-571
    • Chua, S.-K.1
  • 9
    • 0003035995 scopus 로고
    • The local regularity of solutions of degenerate elliptic equations
    • Fabes, Eugene B., Carlos E. Kenig and Raul P. Serapioni: The local regularity of solutions of degenerate elliptic equations. Comm. P.D.E. 7 (1982), 77-116
    • (1982) Comm. P.D.E. , vol.7 , pp. 77-116
    • Fabes, E.B.1    Kenig, C.E.2    Serapioni, R.P.3
  • 10
    • 0000542394 scopus 로고
    • Singular integrals on product spaces
    • Fefferman, Robert and Elias M. Stein: Singular integrals on product spaces. Adv. Math. 45(1982), 117-143
    • (1982) Adv. Math. , vol.45 , pp. 117-143
    • Fefferman, R.1    Stein, E.M.2
  • 12
    • 0001101855 scopus 로고
    • Self-improving properties of John-Nerienberg and poincaré inequalities on spaces of homogeneous type
    • Franchi, Bruno, Carlos Pérez and Richard L. Wheeden: Self-improving properties of John-Nerienberg and Poincaré inequalities on spaces of homogeneous type. J. Funct. Anal. 153 (1988), 108-146
    • (1988) J. Funct. Anal. , vol.153 , pp. 108-146
    • Franchi, B.1    Pérez, C.2    Wheeden, R.L.3
  • 13
    • 0039069178 scopus 로고
    • A note on a two-weighted Sobolev inequality
    • Banach center publ. 22, Warsaw
    • Gurka, Petr and Alois Kufner: A note on a two-weighted Sobolev inequality. Approximation and Function Spaces, 169-172. Banach center publ. 22, Warsaw 1989
    • (1989) Approximation and Function Spaces , pp. 169-172
    • Gurka, P.1    Kufner, A.2
  • 14
    • 0040252993 scopus 로고
    • Imbeddings of weighted Sobolev spaces and the multiplicative inequality
    • Poznan 1989. Teubner-Texte zur Mathematik
    • Gurka, Petr and Bohumir Opic: Imbeddings of weighted Sobolev spaces and the multiplicative inequality. Function Spaces, Proceedings of the Second International Conference, Poznan 1989. Teubner-Texte zur Mathematik Band 120, 1991
    • (1991) Function Spaces, Proceedings of the Second International Conference , vol.120
    • Gurka, P.1    Bohumir, O.2
  • 15
    • 0001697324 scopus 로고
    • Sobolev interpolation inequalities with weights
    • Gutierrez, Cristian E. and Richard L. Wheeden: Sobolev interpolation inequalities with weights. Trans. Amer. Math. Soc. 323 (1991), 263-281
    • (1991) Trans. Amer. Math. Soc. , vol.323 , pp. 263-281
    • Gutierrez, C.E.1    Wheeden, R.L.2
  • 17
    • 0039657240 scopus 로고    scopus 로고
    • Poincaré inequalities, isoperimetric estimates and representation formulas on product spaces
    • Lu, Guozhen and Richard L. Wheeden: Poincaré inequalities, isoperimetric estimates and representation formulas on product spaces. Indiana Univ. Math. J. 47 (1998), 123-151
    • (1998) Indiana Univ. Math. J. , vol.47 , pp. 123-151
    • Lu, G.1    Wheeden, R.L.2
  • 18
    • 0003796632 scopus 로고
    • Springer-Verlag, New York
    • Maz'ja, Vladimir G.: Sobolev Spaces. Springer-Verlag, New York 1985
    • (1985) Sobolev Spaces
    • Maz'ja, V.G.1
  • 19
    • 0000444043 scopus 로고
    • Weighted inequalities for fractional integrals on euclidean and homogeneous spaces
    • Eric, Sawyer and Richard L. Wheeden: Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces. Amer. J. Math. 114 (1992), 813-874
    • (1992) Amer. J. Math. , vol.114 , pp. 813-874
    • Eric, S.1    Wheeden, R.L.2
  • 20
    • 84966241128 scopus 로고
    • Poincaré and Sobolev inequalities in product spaces
    • Shi, Xianliang and Alberto Torchinsky: Poincaré and Sobolev inequalities in product spaces. Proc. Amer. Math. Soc. 118 (1993), 1117-1124
    • (1993) Proc. Amer. Math. Soc. , vol.118 , pp. 1117-1124
    • Shi, X.1    Torchinsky, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.