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

ISBN-10: 981256652X

ISBN-13: 9789812566522

ISBN-10: 9812708448

ISBN-13: 9789812708441

This quantity includes a suite of articles by way of prime researchers in mathematical research. It offers the reader with an in depth evaluation of recent instructions and advances in issues for present and destiny study within the box.

**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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Madrid, 84 (1990), 83-116. 3. P. Cartier, L. M. Katz, G. Laumon, Y. Manin and K. A. ), The Grothendieck Festschrift, a collection of articles written in honor of 60th birthday of Alexander Grothendieck (3 Volumes). Progress in Mathematics, 88. Birkhauser, Boston 1990. 4. P. Cartier, A mad day's work: f r o m Grothendieck to Connes and Kontsevich. T h e evolutions of concepts of space and symmetry. Bull. Amer. Math. 38, 4 (2001), 389-408. 5. A. Defant and K. Floret, Tensor norms and Operator Ideals.

Mn f ) . . )) where the Mj are the directional operators defined in the previous section. Each one of these operators is bounded on Lp(R") so that M s is also bounded on LP (R") . As a corollary we can say that the differentiation holds for rectangles with sides parallel to the coordinate axes if f E LEc for some p > 1. This differentiation result had been proved in the 1930's by A. Zygmund, without using the maximal operator. It was improved by Jessen, Marcinkiewicz and Zygmund who showed that it is enough to have f locally in L(logL)"-l; Saks proved that the differentiation result can fail if p = 1.

M. Katz, G. Laumon, Y. Manin and K. A. ), The Grothendieck Festschrift, a collection of articles written in honor of 60th birthday of Alexander Grothendieck (3 Volumes). Progress in Mathematics, 88. Birkhauser, Boston 1990. 4. P. Cartier, A mad day's work: f r o m Grothendieck to Connes and Kontsevich. T h e evolutions of concepts of space and symmetry. Bull. Amer. Math. 38, 4 (2001), 389-408. 5. A. Defant and K. Floret, Tensor norms and Operator Ideals. North Holland, , Amsterdam, 1993. 6. J. Diestel, A survey of results related t o the Dunford-Pettis property.

### Advanced Courses of Mathematical Analysis II: Proceedings of the Second International School, Granada, Spain, 20 - 24 September 2004 by M. V. Velasco, A. Rodriguez-Palacios

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