@incollection{AST_1985__131__137_0, author = {Pelczynski, A.}, title = {Norms of classical operators in function spaces}, booktitle = {Colloque en l'honneur de Laurent Schwartz - Volume 1}, series = {Ast\'erisque}, pages = {137--162}, publisher = {Soci\'et\'e math\'ematique de France}, number = {131}, year = {1985}, mrnumber = {816744}, zbl = {0582.47033}, language = {en}, url = {http://www.numdam.org/item/AST_1985__131__137_0/} }
TY - CHAP AU - Pelczynski, A. TI - Norms of classical operators in function spaces BT - Colloque en l'honneur de Laurent Schwartz - Volume 1 AU - Collectif T3 - Astérisque PY - 1985 SP - 137 EP - 162 IS - 131 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1985__131__137_0/ LA - en ID - AST_1985__131__137_0 ER -
%0 Book Section %A Pelczynski, A. %T Norms of classical operators in function spaces %B Colloque en l'honneur de Laurent Schwartz - Volume 1 %A Collectif %S Astérisque %D 1985 %P 137-162 %N 131 %I Société mathématique de France %U http://www.numdam.org/item/AST_1985__131__137_0/ %G en %F AST_1985__131__137_0
Pelczynski, A. Norms of classical operators in function spaces, dans Colloque en l'honneur de Laurent Schwartz - Volume 1, Astérisque, no. 131 (1985), pp. 137-162. http://www.numdam.org/item/AST_1985__131__137_0/
Some sharp Inequalities for Conjugate Funtions - Indiana Univ. Math. Journal 27 (1978), 833-852. | DOI | MR | Zbl
[1]Some Sharp Inequalities for Conjugate Functions - Proc. Symp. Pure Math. 35 (1979), 409-416. | DOI | MR | Zbl
[2]Inequalities in Fourier Analysis, Annals of Math. 102 (1975), 159-182. | DOI | MR | Zbl
[1]On the integrability of Banach space valued Walsh polynomials, Séminaire de Probabilités XIII, Lecture Notes in Mat. 721, Springer Verlag 1979. | DOI | EuDML | Numdam | MR | Zbl
[1]Martingale transforms, Ann. Math. Statis. 37 (1966), 1494-1504. | DOI | MR | Zbl
[1]A geometric characterization of Banach spaces in which martingale difference sequences are unconditional, Ann. Probab. 9 (1981), 997-1011. | DOI | MR | Zbl
[2]A nonlinear partial differential equation and the unconditional constant of the Haar system in , Bull. Amer. Math. Soc. (New Series) 7 (1982), 591-595. | DOI | MR | Zbl
[3]Boundary value problems and sharp inequalities for martingale transforms, Ann. Probab. (to appear). | MR | Zbl
[4]On the structure of Free Baxter Algebras, Advances in Mathematics 9 (1972), 253-265. | DOI | MR | Zbl
[1]Spectre de l'équation de Schrödinger, Application à la Stabilité de Matière (d'après J. Lebowitz, E. Lieb, B. Simon et W. Thinning), Séminaire Bourbaki 29e année, 1976/77, n° 496. | EuDML | Numdam | MR | Zbl
[2]Classes de formes bilinéaires sur les espaces de Banach (d'après Grothendieck), Séminaire Bourbaki, 13e année, 1960/61, exp. 211, 14 pp. Benjamin New York, 1966. | EuDML | Numdam | MR | Zbl
[3]A unified theory of Hilbert transforms and ergodic theory, Rev. Mat. Cuyana I, (1955), 105-167. | MR | Zbl
[1]On the week type (1,1) inequality for conjugate functions and circular symmetrization, Proc. Amer. Math. Soc. 44 (1974), 307-311. | MR | Zbl
[1]On Kolmogorov's Inequality , Amer. Math. Soc. 222 (1976), 179-192. | MR | Zbl
[2]Intégrabilité des vecteurs Gaussiens, Compte Rendus Acad. Sci. Paris 270 (1970), 1698-1699. | MR | Zbl
[1]Computing norms and critical exponents of some operators in -spaces, Studia Math. to appear. | EuDML | MR | Zbl
, and : [1]Norm of the Hilbert transformation in the -space, Functional Analysis and its application 2.2 (1968), 91-92 (Russian). | Zbl
and [1]Résumé de la théorie métrique des produits tensoriels topologiques, Bull. Soc. Mat. São Paulo (1956), 1-79. | MR | Zbl
: [1]Les meilleures constantes de l'inégalité de Khinchine, CR. Acad. Sci. Paris 286. série A (1978), 259-262. | MR | Zbl
[1]The best constants in the Khinchine inequality, Studia Math. 52 (1982), 231-283. | EuDML | MR | Zbl
[2]Extremal inequalities in Sobolev spaces and quasiconformal mappings, Zeitschrift f. Analysis und ihre Anwendungen, Bd 1(6) (1982). | MR | Zbl
[1]Sur les sommes vectorielles , CR. Acad. Sci. Paris 259 (1964), 2577-2580. | MR | Zbl
[1]A note on the Grothendieck constant with an application to Harmonic Analysis, UUDM Report N° 1973 ; 10, Uppsala University.
[1]A local probability problem, Proc. Section of Sci. K. Akad. van Wet. te Amsterdam. VIII (1906). 341-350.
[1]Sur la constante de Grothendieck, C.R.Acad. Sci. Paris, 284 (1977) Série A, 445-446. | MR | Zbl
[1]Constantes de Grothendieck et fonctions de type positif sur les sphères, Advances in Math. 31 (1979), 16-30. | DOI | MR | Zbl
[2]Isomorphic characterizations of inner product spaces by othogonal series with vector valued coefficients, Studia Math. 44 (1972) 583-595. | DOI | EuDML | MR | Zbl
[1]On the supremum of a Gaussian process, Sankhya 32 (1970), 369-378. | MR | Zbl
and : [1]Absolutely summing operators in spaces and their applications, Studia Math. 29 (1968), 275-326. | DOI | EuDML | MR | Zbl
and : [1]Contributions to the theory of the classical Banach spaces, J. Funct. Anal. 8 (1971), 225-249. | DOI | MR | Zbl
and [2]Système de Haar, Séminaire Maurey-Schwartz (1974-1975), École Polytechnique, Paris 1975. | EuDML | Numdam | MR | Zbl
[1]Théorèmes de factorization pour les opérateurs linéaires à valeurs dans un espace , Astérisque N° 11, Soc. Math. France 1974. | Numdam | MR | Zbl
[2]Fourier series and Lebesque functions, Uspehi Mat. Nauke 22 (1967), 237-239 (Russian). | MR
[1]Fourier series with respect to general orthogonal systems, Springer-Verlag, New York, Heidelberg-Berlin 1975. | DOI | MR | Zbl
[2]Banach spaces of Analytic Functions and absolutely summing operators, Conf. Board of Math. Regional Conf. Ser. Math. 30 (1977). | Zbl
[1]On the best values of the constants in the theorems of M. Riesz, Zygmund and Kolmogorov, Studia Math. 44 (1972), 165-179. | DOI | EuDML | MR | Zbl
: [1]Operator Ideals VEB Deutscher Verlag der Wissenschaften, Berlin 1978. | MR | Zbl
[1]Grothendieck's theorem for non-commutativ -algebras with an appendix on Grothendieck constants, Journal of Funct. Anal. 29 (1978), 397-415. | DOI | MR | Zbl
[1]Les produits tensoriels d'espaces de Banach depuis Grothendieck, Séminaire Initiation à l'analyse, G. Choquet, M. Rogalski, J. Saint Raymond, 21e année, 1981/1982 N° 10, Université Paris VI. | Zbl
[2]A proof of the Grothendieck inequality, Israël J. Math. 19 (1974), 271-276. | DOI | MR | Zbl
[1]Master thesis, Warsaw University 1983.
[1]On the best lacunary system of functions, Izv. Acad. Nauk SSSR, Ser. Math. 25 (1961), 357-366 (Russian). | MR
[1]On the best constants in the Khinchine inequality, Studia Math. 58 (1978), 197-208. | DOI | EuDML | MR | Zbl
[1]Two remarks on the Khinchine-Kahane inequality, Coll. Math. 46 (1982), 283-288. | DOI | EuDML | MR | Zbl
[1]A Treatise on the theory of Bessel Functions, Cambridge Univ. Press. 1944. | MR | Zbl
[1]On the best constants in the Khinchine inequality, J. London Math. Soc. 14 (1976), 496-504. | DOI | MR | Zbl
[1]Trigonometric series, Vols I and II, Cambridge 1968. | MR | Zbl
[1]