@article{SEDP_1972-1973____A1_0, author = {Komatsu, H.}, title = {The {Sobolev-Besov} imbedding theorem from the viewpoint of semi-groups of operators}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:1}, pages = {1--23}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1972-1973}, mrnumber = {440358}, zbl = {0302.46022}, language = {en}, url = {http://archive.numdam.org/item/SEDP_1972-1973____A1_0/} }
TY - JOUR AU - Komatsu, H. TI - The Sobolev-Besov imbedding theorem from the viewpoint of semi-groups of operators JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:1 PY - 1972-1973 SP - 1 EP - 23 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://archive.numdam.org/item/SEDP_1972-1973____A1_0/ LA - en ID - SEDP_1972-1973____A1_0 ER -
%0 Journal Article %A Komatsu, H. %T The Sobolev-Besov imbedding theorem from the viewpoint of semi-groups of operators %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:1 %D 1972-1973 %P 1-23 %I Ecole Polytechnique, Centre de Mathématiques %U http://archive.numdam.org/item/SEDP_1972-1973____A1_0/ %G en %F SEDP_1972-1973____A1_0
Komatsu, H. The Sobolev-Besov imbedding theorem from the viewpoint of semi-groups of operators. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1972-1973), Exposé no. 1, 23 p. http://archive.numdam.org/item/SEDP_1972-1973____A1_0/
[1] Approximationssätze fur Halbgruppenoperatoren in intermediären Räumen, Schr. Math. Inst. Univ. Münster 32 (1964), 1-59. | MR | Zbl
,[2] Investigation of a family of function spaces in connection with theorems of imbedding and extension, Trudy Mat. Inst. Steklov, 60 (1961), 42-81, Aerm. Math. Soc. Translations, Ser. 2, 40 (1964), 85-126. | MR | Zbl
,[3] Intermediate spaces and interpolation, the complex method, Studia Math., 24 (1964), 113-190. | MR | Zbl
,[4] Commutativité de deux foncteurs d'interpolation et applications, J. Math. Pure Appl., 45 (1966), 143-291. | MR | Zbl
,[5] Some properties of fractional integrals, Math. Z., 27 (1928), 565-606 and 34 (1932), 403-439. | Zbl
- ,[6] J. E. Littlewood, Theorems concerning mean values of analytic and harmonic functions, Quart. J. Math., 12 (1941), 221-256. | MR | Zbl
-[7] Semi-groups of operators in locally convex spaces, J. Math. Soc. Japan, 16 (1964), 230-262. | MR | Zbl
,[8] Fractional powers of operators, Pacific J. Math., 19 (1966), 285-346. | MR | Zbl
,[9] Fractional powers of operators II, Interpolation spaces, Pacific J. Math., 21 (1967), 89-111. | MR | Zbl
,[10] Fractional powers of operators, III, Negative powers, J. Math. Soc. Japan, 21 (1969), 205-220. | MR | Zbl
,[11] Fractional powers of operators, V, Dual operators, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 373-396. | MR | Zbl
,[12] Fractional powers of operators, VI, Interpolation of non-negative operators and imbedding theorems, J. Fac. Sci. Univ. Tokyo, Sec. IA, 19 (1972), 1-63. | MR | Zbl
,[13] Sur une classe d'espaces d'interpolation, Publ. Math. IHES, 19 (1964), 5-68. | Numdam | MR | Zbl
- ,[14] Product of fractional powers of operators, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 581-590. | MR | Zbl
,[15] On imbedding theorems for Besov spaces of functions defined in general regions, Publ. RIMS,Kyoto Univ., 7 (1971), 261-285. | MR | Zbl
,[16] On the imbedding,continuity, and approximation theorems for differentiable functions in several variables, Uspehi Mat. Nauk, 16 (1961), 63-114, Russian Math. Surveys, 16 (1961), 55-104. | MR | Zbl
,[17] Hyperfunction solutions of the abstract Cauchy problem, Proc. Japan Acad., 47 (1971), 541-544. | MR | Zbl
,[18] Sur le nombre de paramètres dans la définition de certains espaces d'interpolation, Ricerche Mat., 12 (1963), 248-261. | MR | Zbl
,[19] Espaces d'interpolation et théorème de Soboleff, Ann. Inst. Fourier, 16 (1966), 279-317. | Numdam | MR | Zbl
,[20] Sur un théorème d'analyse fonctionnelle, Mat. Sbornik, 4 (1938), 471-496 (in Russian). | JFM
,[21] On the theory of Lipschitz spaces of distributions on Euclidean n-spaces, I. Principal properties, J. Math. Mech., 13 (1964), 407-479. | MR | Zbl
,[22] Remarks on the theory of interpolation spaces, J. Fac. Sci. Univ. Tokyo, Sec. I, 15 (1968), 209-251. | MR | Zbl
,[23] An abstract formulation of Sobolev type imbedding theorems and its applications to elliptic boundary value problems, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 543-558. | MR | Zbl
,[24] Fractional powers of operators, interpolation theory and imbedding theorems, J. Fac. Sci. Univ. Tokyo, Sec. IA, 18 (1971), 335-362. | MR | Zbl
,