Download Advanced Courses of Mathematical Analysis II: Proceedings of by M. V. Velasco, A. Rodriguez-Palacios PDF

By M. V. Velasco, A. Rodriguez-Palacios

This quantity contains a suite of articles by means of prime researchers in mathematical research. It presents the reader with an in depth evaluate of latest instructions and advances in subject matters for present and destiny examine within the box.

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Read or Download Advanced Courses of Mathematical Analysis II: Proceedings of the Second International School, Granada, Spain, 20 - 24 September 2004 PDF

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Additional info for Advanced Courses of Mathematical Analysis II: Proceedings of the Second International School, Granada, Spain, 20 - 24 September 2004

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8. G1 A. Grothendieck, Produits tensoriels topologiques et espaces nucle'aires. Mem. Amer. Math. ,No. 16, 1955. 9. A. Grothendieck, Rdsume' des resultats essentiels duns la the'orie des produits tensoriels topologiques et des espaces nucle'aires. Ann. Inst. Fourier Grenoble 4 (1952), 73-112 (appeared in 1954). 10. A. Grothendiek, Sur les applications line'aires faiblement compactes d'espaces du type C(K). Canadian J. , 5 (1953), 129-173. 11. A. Grothendieck, Re'sume' de la the'orie me'trique des produits tensoriels topologiques.

R. Acad. Paris 239 (1954), 607-609. (17) Sur les espaces (F)et (DF). Summa Brazil. Math. 3 (1954), 57-123. (18) Produits tensoriels topologiques et espaces nucle'aires. Mem. Amer. Math. No. 16, 1955. (19) Une caracte'risation vectorielle-me'trique des espaces L1. Canadian J. Math. 7 (1955), 552-561. (20) Erratum au memoire Produits tensoriels topologiques et espaces nucle'aires. Ann. Inst. Fourier 6 (1955-56), 117-120. (21) Re'sume' de la the'orie me'trique des produits tensoriels topologiques.

Moreover, since the quotient of the measures of the unit sphere and the unit ball is n we get a bound for the norm of the operator of Apn (this, in turn, can be lowered to a multiple of nl/P by interpolating with the Loo estimate). This was observed by M. de Guzm6n (see the books [22] and ["I). It is a remarkable fact that such a simple proof gives a much better size for the constant of the centered Hardy-Littlewood maximal operator than the usual proofs through covering lemmas from which one obtains an exponential growth in n.

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