Keywords
- Function Space
- Hardy Space
- Complete Riemannian Manifold
- Fourier Multiplier
- Interpolation Theory
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References
Aronsazaj, N., Smith, K.T., Theory of Bessel potentials, I. Ann. Inst. Fourier (Grenoble) 11 (1961), 385–476.
Besov, O.V., On a family of function spaces. Embeddings and extensions, (Russian) Dokl. Akad. Nauk SSSR 126 (1959), 1163–1165.
Besov, O.V., On a family of function spaces in connections with embeddings and extensions, (Russian) Trudy Mat. Inst. Steklov 60 (1961), 42–81.
Butzer, P.P., Berens, H., Semi-Groups of Operatons and Approximation, Springer; Berlin, Heidelberg, New York, 1967.
Calderòn, A.P., Lebesque spaces of functions and distributions, "Part. Diff. Eq.", Proc. Symp. Math. 4, AMS (1961), 33–49.
Calderón, A.P., Intermediate spaces and interpolation, the complex method, Studia Math. 24 (1964), 113–190.
Fefferman, C., Stein, E.M., H p spaces of several variables, Acta Math. 129 (1972), 137–193.
Flett, T.M., Temperatures, Bessel potentials and Lipschitz spaces, Proc. London Math. Soc. 32 (1971), 385–451.
Lions, J.-L., Peetre, J., Sur une class d' espaces d' interpolation, Inst. Hautes Etudes Sci. Publ. Math. 19 (1964), 5–68.
Lizorkin, P.I., Properties of functions of the spaces ⋀ n p ,θ, (Russian) Trudy Mat. Inst. Steklov 131 (1974), 158–181.
Peetre, J., Sur les espaces de Besov, C.R. Acad. Sci. Paris, Sér. A–B 264 (1967), 281–283.
Peetre, J., Remarques sur les espaces de Besov, Le cas 0<p<1, C.R. Acad. Sci. Paris, Sér, A–B 277 (1973), 947–950.
Peetre, J., On spaces of Triebel-Lizonkin type, Ark. Mat. 13 (1975), 123–130.
Peetre,J., New Thoughts on Besov Spaces, Duke Univ. Math. Series, Durham, 1976.
Runst,T., Para-differential operators in spaces of Triebel-Lizonrkin and Besov type, Z. Analysis Anwendungen.
Sobolev, S.L., Méthode nouvelle à resoudre le probléme de Cauchy pour les équations linéaires hyperboliques normales, Mat. Sb. 1 (1936), 39–72.
Stein, E.M., Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, 1970.
Taibleson, M.H., On the theory of Lipschitz spaces of distributions on euclidean n-space, I,II, J. Math. Mechanics 13 (1964), 407–479; (1965), 821–839.
Triebel, H., Spaces of distributions of Besov type on euclidean n-space, Duality, Interpolation, Ark. Mat. 11 (1973), 13–64.
Triebel, H., Interpolation Theory, Function Spaces, Differential Operatons, North-Holland, Amsterdam, New York, Oxford, 1978.
Triebel, H., Fourier Analysis and Function Spaces, Teubner, Leipzig, 1977.
Triebel, H., Spaces of Besov-Hardy-Sobolev Type, Teubner, Leipzig, 1978.
Triebel, H., Theory of Function Spaces, Birkhäuser, Boston 1983, and Geest & Porting, Leipzig, 1983.
Triebel, H., Characterizations of Besov-Hardy-Sobolev spaces via harmonic functions, temperatures, and related means, J. Approximation Theory 35 (1982), 275–297.
Triebel,H., Characterizations of Besov-Hardy-Sobolev spaces, a unified approach.
Triebel,H., Diffeomorphism properties and pointwise multipliers for spaces of Besov-Hardy-Sobolev type.
Triebel,H., Spaces of Besov-Hardy-Sobolev type on complete Riemannian manifolds.
Triebel,H., Pseudo-differential operators in F s p,q -spaces.
Zygmund, A., Smooth functions, Duke Math. J. 12 (1945), 47–76.
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© 1986 Equadiff 6 and Springer-Verlag
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Triebel, H. (1986). Recent developments in the theory of function spaces. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076055
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DOI: https://doi.org/10.1007/BFb0076055
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