Publicacions matemàtiques

Publicacions matemàtiques 14 records found  Search took 0.01 seconds. 
2 p, 55.8 KB Introduction / Cifuentes, Patricio ; García-Cuerva, José ; Hernández, Eugenio ; Soria, Fernando ; Torrea, José Luis ; Vargas, Ana
2002 - 10.5565/PUBLMAT_intro
Publicacions matemàtiques, Vol. Extra (2002) , p. 9-10  
1 p, 50.1 KB List of participants
2002 - 10.5565/PUBLMAT_listofp
Publicacions matemàtiques, Vol. Extra (2002) , p. 11-12  
14 p, 269.2 KB What is van der Corput's lemma in higher dimensions? / Carbery, Anthony (University of Edinburgh. Department of Mathematics and Statistics) ; Wright, James (University of Edinburgh. Department of Mathematics and Statistics)
We consider variants of van der Corput's lemma in higher dimensions.
2002 - 10.5565/PUBLMAT_Esco02_01
Publicacions matemàtiques, Vol. Extra (2002) , p. 13-26  
11 p, 227.4 KB On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity / Carro, María J. (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Given a sublinear operator T satisfying that T f Lp (ν) ≤ C p−1 f Lp (µ), for every 1 < p ≤ p0 , with C independent of f and p, it was proved in [C] that ∞ λν f (y) dy T 1/r sup |f (x)|(1 + log+ |f (x)|) dµ(x). [...]
2002 - 10.5565/PUBLMAT_Esco02_02
Publicacions matemàtiques, Vol. Extra (2002) , p. 27-37  
18 p, 272.6 KB Directional operators and mixed norms / Duoandikoetxea, Javier (Universidad del País Vasco. Departamento de Matemáticas)
We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calder'on and Zygmund), X-ray transforms, and directional fractional operators related to Riesz type potentials with variable kernel. [...]
2002 - 10.5565/PUBLMAT_Esco02_03
Publicacions matemàtiques, Vol. Extra (2002) , p. 39-56  
35 p, 421.5 KB On multilinear singular integrals of Calderón-Zygmund type / Grafakos, Loukas (University of Missouri. Department of Mathematics) ; Torres, Rodolfo H. (University of Kansas. Department of Mathematics)
A variety of results regarding multilinear Calderón-Zygmund singular integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur's test, and a multilinear version of the T1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators. [...]
2002 - 10.5565/PUBLMAT_Esco02_04
Publicacions matemàtiques, Vol. Extra (2002) , p. 57-91  
49 p, 585.5 KB Oscillatory and Fourier integral operators with degenerate canonical relations / Greenleaf, Allan (University of Rochester. Department of Mathematics) ; Seeger, Andreas (University of Wisconsin. Department of Mathematics)
We survey results concerning the L2 boundedness of oscillatory and Fourier integral operators and discuss applications. The article does not intend to give a broad overview; it mainly focusses on topics directly related to the work of the authors.
2002 - 10.5565/PUBLMAT_Esco02_05
Publicacions matemàtiques, Vol. Extra (2002) , p. 93-141  
18 p, 277.1 KB The solution of the Kato problem in two dimensions / Hofmann, Steve (University of Missouri-Columbia. Department of Mathematics) ; McIntosh, Alan (Australian National University. Centre for Mathematics and its Applications)
We solve, in two dimensions, the "square root problem of Kato". That is, for L ≡ − div(A(x)∇), where A(x) is a 2 × 2 accretive matrix of bounded measurable complex coefficients, we prove that L1/2 : L2 1(R2) → L2(R2).
2002 - 10.5565/PUBLMAT_Esco02_06
Publicacions matemàtiques, Vol. Extra (2002) , p. 143-160  
19 p, 296.9 KB Recent progress on the Kakeya conjecture / Katz, Nets (Washington University at St. Louis. Department of Mathematics) ; Tao, Terence (University of California Los Angeles-UCLA. Department of Mathematics)
We survey recent developments on the Kakeya problem.
2002 - 10.5565/PUBLMAT_Esco02_07
Publicacions matemàtiques, Vol. Extra (2002) , p. 161-179  
17 p, 258.2 KB Poincaré inequalities and Sobolev spaces / MacManus, Paul (Phillips Exeter Academy (Exeter, Estats Units d'Amèrica))
Our understsanding of the interplay between Poincaré inequalities, Sobolev inequalities and the geometry of the underlying space has changed considerably in recent years. These changes have simultaneously provided new insights into the classical theory and allowed much of that theory to be extended to a wide variety of different settings. [...]
2002 - 10.5565/PUBLMAT_Esco02_08
Publicacions matemàtiques, Vol. Extra (2002) , p. 181-197  
10 p, 191.4 KB Singular integrals and rectifiability / Mattila, Pertti (University of Jyväskylä. Department of Mathematics and Statistics)
We shall discuss singular integrals on lower dimensional subsets of Rn. A survey of this topic was given in [M4]. The first part of this paper gives a quick review of some results discussed in [M4] and a survey on some newer results and open problems. [...]
2002 - 10.5565/PUBLMAT_Esco02_09
Publicacions matemàtiques, Vol. Extra (2002) , p. 199-208  
20 p, 289.8 KB Why the Riesz transforms are averages of the dyadic shifts? / Petermichl, S. (Institute for Advanced Studies (Princeton, Estats Units d'Amèrica)) ; Treil, S. (Brown University. Department of Mathematics) ; Volberg, A. (Michigan State University. Department of Mathematics)
The first author showed in [18] that the Hilbert transform lies in the closed convex hull of dyadic singular operators —so-called dyadic shifts. We show here that the same is true in any Rn —the Riesz transforms can be obtained as the results of averaging of dyadic shifts. [...]
2002 - 10.5565/PUBLMAT_Esco02_10
Publicacions matemàtiques, Vol. Extra (2002) , p. 209-228  
46 p, 511.8 KB Multilinear singular integrals / Thiele, Christoph M. (University of California. Department of Mathematics)
We survey the thoery of multilinear singular integral operators with modulation symmetry. The basic example for this theory is the bilinear Hilbert transform and its multilinear variants. We outline a proof of boundedness of Carleson's operator which shows the close connection of this operator to multilinear singular integrals. [...]
2002 - 10.5565/PUBLMAT_Esco02_11
Publicacions matemàtiques, Vol. Extra (2002) , p. 229-274  
18 p, 275.1 KB The fall of the doubling condition in Calderón-Zygmund theory / Verdera Melenchón, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The most important results of standard Calderón-Zygmund Theory have recently been extended to very general non-homogeneous contexts. In this survey paper we describe these extensions and their striking applications to removability problems for bounded analytic functions. [...]
2002 - 10.5565/PUBLMAT_Esco02_12
Publicacions matemàtiques, Vol. Extra (2002) , p. 275-292  

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