메뉴 건너뛰기




Volumn 6, Issue 5, 2000, Pages 503-531

The banach envelopes of besov and triebel-lizorkin spaces and applications to partial differential equations

Author keywords

Banach envelope; Besov and triebel lizorkin spaces; Boundary problems; Layer potentials; Lipschitz domains

Indexed keywords


EID: 52849087226     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02511543     Document Type: Article
Times cited : (17)

References (47)
  • 4
    • 0001142946 scopus 로고
    • Intermediate spaces and interpolation, the complex method
    • Calderón, A.P. (1964). Intermediate spaces and interpolation, the complex method, Studia Math., 24, 113-190.
    • (1964) Studia Math. , vol.24 , pp. 113-190
    • Calderón, A.P.1
  • 5
    • 0013510348 scopus 로고
    • Parabolic maximal functions associated with a distribution, II
    • Calderón, A.P. and Torchinsky, A. (1977). Parabolic maximal functions associated with a distribution, II, Adv. in Math., 24, 101-171.
    • (1977) Adv. in Math. , vol.24 , pp. 101-171
    • Calderón, A.P.1    Torchinsky, A.2
  • 6
    • 0007153361 scopus 로고
    • Stability of Fredholm properties on interpolation scales
    • Cao, W. and Sagher, Y. (1990). Stability of Fredholm properties on interpolation scales, Ark. for Math., 28, 249-258.
    • (1990) Ark. for Math. , vol.28 , pp. 249-258
    • Cao, W.1    Sagher, Y.2
  • 8
    • 0001438461 scopus 로고    scopus 로고
    • Riesz transforms for 1 ≤ p ≤ 2
    • Coulhon, T. and Duong, X.T. (1999). Riesz transforms for 1 ≤ p ≤ 2, Trans. Am. Math. Soc., 351, 1151-1169.
    • (1999) Trans. Am. Math. Soc. , vol.351 , pp. 1151-1169
    • Coulhon, T.1    Duong, X.T.2
  • 9
    • 0000921363 scopus 로고
    • Complex interpolation of some quasi-Banach spaces
    • Cwikel, M., Milman, M., and Sagher, Y. (1986). Complex interpolation of some quasi-Banach spaces, J. Funct. Anal., 65, 339-347.
    • (1986) J. Funct. Anal. , vol.65 , pp. 339-347
    • Cwikel, M.1    Milman, M.2    Sagher, Y.3
  • 11
    • 0000941796 scopus 로고
    • q estimates for Green potentials in Lipschitz domains
    • q estimates for Green potentials in Lipschitz domains, Math. Scand., 44, 149-170.
    • (1979) Math. Scand. , vol.44 , pp. 149-170
    • Dahlberg, B.1
  • 12
    • 0000225785 scopus 로고
    • p for Laplace's equation in Lipschitz domains
    • p for Laplace's equation in Lipschitz domains, Ann. Math., 125, 437-465.
    • (1987) Ann. Math. , vol.125 , pp. 437-465
    • Dahlberg, B.1    Kenig, C.2
  • 13
    • 85056072902 scopus 로고
    • q -Estimates for the three-dimensional system of elastostatics on Lipschitz domains
    • Sadosky, C., Ed.
    • q -Estimates for the three-dimensional system of elastostatics on Lipschitz domains. Lecture Notes in Pure and Applied Math., Vol. 122, Sadosky, C., Ed., 621-634.
    • (1990) Lecture Notes in Pure and Applied Math. , vol.122 , pp. 621-634
    • Dahlberg, B.1    Kenig, C.2
  • 14
    • 84972551990 scopus 로고
    • Boundary value problems for the system of elastostatics on Lipschitz domains
    • Dahlberg, B., Kenig, C., and Verchota, G. (1988). Boundary value problems for the system of elastostatics on Lipschitz domains, Duke Math. J., 57, 795-818.
    • (1988) Duke Math. J. , vol.57 , pp. 795-818
    • Dahlberg, B.1    Kenig, C.2    Verchota, G.3
  • 17
    • 84966241361 scopus 로고
    • Interpolation of Besov spaces
    • DeVore, R.A. and Popov, V.A. (1988). Interpolation of Besov spaces, Trans. Am. Math. Soc., 305(1), 397-414.
    • (1988) Trans. Am. Math. Soc. , vol.305 , Issue.1 , pp. 397-414
    • DeVore, R.A.1    Popov, V.A.2
  • 18
    • 0000474697 scopus 로고    scopus 로고
    • Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
    • Fabes, E., Mendez, O., and Mitrea, M. (1998). Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains, J. Funct. Anal., 159, 323-368.
    • (1998) J. Funct. Anal. , vol.159 , pp. 323-368
    • Fabes, E.1    Mendez, O.2    Mitrea, M.3
  • 20
    • 0002319407 scopus 로고
    • A discrete transform and decompositions of distribution spaces
    • Frazier, M. and Jawerth, B. (1990). A discrete transform and decompositions of distribution spaces, J. Funct. Anal., 93(1), 34-170.
    • (1990) J. Funct. Anal. , vol.93 , Issue.1 , pp. 34-170
    • Frazier, M.1    Jawerth, B.2
  • 21
    • 0011023996 scopus 로고
    • Applications of the φ and wavelet transforms to the theory of function spaces
    • Ruskai et. al., Eds., Jones and Bartlett, Boston
    • Frazier, M. and Jawerth, B. (1992). Applications of the φ and wavelet transforms to the theory of function spaces, in Wavelets and Their Applications, Ruskai et. al., Eds., Jones and Bartlett, Boston, 377-417.
    • (1992) Wavelets and Their Applications , pp. 377-417
    • Frazier, M.1    Jawerth, B.2
  • 22
    • 0003292476 scopus 로고
    • Littlewood-Paley Theory and the Study of Function Spaces
    • AMS, Providence, RI
    • Frazier, M., Jawerth, B., and Weiss, G. (1991). Littlewood-Paley Theory and the Study of Function Spaces, CBMS Regional Conf. Ser. Math., 79, AMS, Providence, RI.
    • (1991) CBMS Regional Conf. Ser. Math. , vol.79
    • Frazier, M.1    Jawerth, B.2    Weiss, G.3
  • 25
    • 0000271720 scopus 로고
    • The inhomogeneous Dirichlet problem in Lipschitz domains
    • Jerison, D. and Kenig, C. (1995). The inhomogeneous Dirichlet problem in Lipschitz domains, J. Funct. Anal., 130, 161-219.
    • (1995) J. Funct. Anal. , vol.130 , pp. 161-219
    • Jerison, D.1    Kenig, C.2
  • 26
    • 84974318034 scopus 로고
    • Convexity conditions for non-locally convex lattices
    • Kalton, N.J. (1984). Convexity conditions for non-locally convex lattices, Glasgow Math. J., 25, 141-152.
    • (1984) Glasgow Math. J. , vol.25 , pp. 141-152
    • Kalton, N.J.1
  • 27
    • 0013096203 scopus 로고
    • Analytic functions in non-locally convex spaces
    • Kalton, N.J. (1986). Analytic functions in non-locally convex spaces, Studio Math., 83, 275-303.
    • (1986) Studio Math. , vol.83 , pp. 275-303
    • Kalton, N.J.1
  • 28
    • 0000391915 scopus 로고
    • Plurisubharmonic functions on quasi-Banach spaces
    • Kalton, N.J. (1986). Plurisubharmonic functions on quasi-Banach spaces, Studia Math., 84, 297-324.
    • (1986) Studia Math. , vol.84 , pp. 297-324
    • Kalton, N.J.1
  • 29
    • 22444454571 scopus 로고    scopus 로고
    • Stability results on interpolation scales of quasi-Banach spaces and applications
    • Kalton, N. and Mitrea, M. (1998). Stability results on interpolation scales of quasi-Banach spaces and applications, Trans. Am. Math. Soc., 350(10), 3903-3922.
    • (1998) Trans. Am. Math. Soc. , vol.350 , Issue.10 , pp. 3903-3922
    • Kalton, N.1    Mitrea, M.2
  • 31
    • 21144482984 scopus 로고
    • On singularities of solutions of the displacement problem of linear elasticity near the vertex of a cone
    • Kozlov, V.A., Maz'ya, V.G., and Schwab, C. (1992). On singularities of solutions of the displacement problem of linear elasticity near the vertex of a cone, Arch. Rational Mech. Anal., 119, 197-227.
    • (1992) Arch. Rational Mech. Anal. , vol.119 , pp. 197-227
    • Kozlov, V.A.1    Maz'ya, V.G.2    Schwab, C.3
  • 32
    • 0002210379 scopus 로고
    • n) in terms of atoms
    • n) in terms of atoms, Studia Math., 62, 92-101.
    • (1978) Studia Math. , vol.62 , pp. 92-101
    • Latter, R.H.1
  • 34
    • 0345875155 scopus 로고    scopus 로고
    • Complex powers of the Neumann Laplacian in Lipschitz domains
    • to appear
    • Mendez, O. and Mitrea, M. (2000). Complex powers of the Neumann Laplacian in Lipschitz domains, to appear in Math. Nachrichten.
    • (2000) Math. Nachrichten.
    • Mendez, O.1    Mitrea, M.2
  • 35
    • 0001929311 scopus 로고    scopus 로고
    • Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov spaces and the Poisson problem
    • to appear
    • Mitrea, M. and Taylor, M. (2000). Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov spaces and the Poisson problem, to appear in J. Funct. Anal.
    • (2000) J. Funct. Anal.
    • Mitrea, M.1    Taylor, M.2
  • 40
    • 0000212027 scopus 로고
    • Spectral properties of linear operators in interpolation families of Banach spaces
    • Ŝneîberg, V. (1974). Spectral properties of linear operators in interpolation families of Banach spaces, Mat. Issled., 9, 214-229.
    • (1974) Mat. Issled. , vol.9 , pp. 214-229
    • Ŝneîberg, V.1
  • 43
    • 52849085822 scopus 로고
    • Monographs in Mathematics, Birkhäuser Verlag, Basel
    • Triebel, H. (1992). Theory of Function Spaces. II, Monographs in Mathematics, Vol. 84, Birkhäuser Verlag, Basel.
    • (1992) Theory of Function Spaces. II , vol.84
    • Triebel, H.1
  • 45
    • 34248559265 scopus 로고
    • Convexités dans les espaces vectoriels topologiques generaux
    • Turpin, P. (1974). Convexités dans les espaces vectoriels topologiques generaux, Diss. Math., 131.
    • (1974) Diss. Math. , vol.131
    • Turpin, P.1
  • 46
    • 0039472069 scopus 로고    scopus 로고
    • Imbedding and multiplier theorems for discrete Littlewood-Paley spaces
    • Verbitsky, I.E. (1996). Imbedding and multiplier theorems for discrete Littlewood-Paley spaces, Pacific J. Math., 176(2), 529-556.
    • (1996) Pacific J. Math. , vol.176 , Issue.2 , pp. 529-556
    • Verbitsky, I.E.1
  • 47
    • 45449125628 scopus 로고
    • Spectral theory and complex interpolation
    • Vignati, A.T. and Vignati, M. (1988). Spectral theory and complex interpolation, J. Funct. Anal., 80, 387-397.
    • (1988) J. Funct. Anal. , vol.80 , pp. 387-397
    • Vignati, A.T.1    Vignati, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.