- journal articles metadata
European Mathematical Society Publishing House
2024-03-28 14:57:08
22
https://www.ems-ph.org/meta/jmeta-stream.php?jrn=RMI&vol=4&update_since=2024-03-28
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
4
1988
1
José Luis Rubio de Francia (1949–88). Semblanza de su vida y obra
Antonio
Córdoba
Universidad Autónoma de Madrid, MADRID, SPAIN
General
1
10
10.4171/RMI/60
http://www.ems-ph.org/doi/10.4171/RMI/60
Non-Negative Solutions to Fast Diffusions
Bjorn
Dahlberg
Washington University, ST. LOUIS, UNITED STATES
Carlos
Kenig
University of Chicago, CHICAGO, UNITED STATES
General
11
29
10.4171/RMI/61
http://www.ems-ph.org/doi/10.4171/RMI/61
Constructions de Bases Orthonormées d'Ondelettes
Yves
Meyer
ENS-Cachan, CACHAN CEDEX, FRANCE
General
31
39
10.4171/RMI/62
http://www.ems-ph.org/doi/10.4171/RMI/62
The Boundedness of Calderón-Zygmund Operators on the Spaces $\dot{F}^{\alpha, q}_p$
M.
Frazier
Washington University in St. Louis, ST. LOUIS, UNITED STATES
R.
Torres
Washington University in St. Louis, ST. LOUIS, UNITED STATES
Guido
Weiss
Washington University in St. Louis, ST. LOUIS, UNITED STATES
General
41
72
10.4171/RMI/63
http://www.ems-ph.org/doi/10.4171/RMI/63
Morceaux de Graphes Lipschitziens et Intégrales Singulières sur une Surface
Guy
David
Université Paris-Sud, ORSAY CEDEX, FRANCE
General
73
114
10.4171/RMI/64
http://www.ems-ph.org/doi/10.4171/RMI/64
Lipschitz and bi-Lipschitz Functions
Peter
Jones
Yale University, NEW HAVEN, UNITED STATES
General
115
121
10.4171/RMI/65
http://www.ems-ph.org/doi/10.4171/RMI/65
Maximal and Area Integral Characterizations of Hardy-Sobolev Spaces in the Unit Ball of $\mathbb C^n$
Patrick
Ahern
University of Wisconsin at Madison, MADISON, UNITED STATES
Joaquim
Bruna
Universitat Autonoma de Barcelona, BELLATERRA, SPAIN
In this paper we deal with several characterizations of the Hardy-Sobolev spaces in the unit ball of $\mathbb C^n$, that is, spaces of holomorphie functions in the ball whose derivatives up to a certain order belong to the classical Hardy spaces. Some of our characterizations are in terms of maximal functions, area functions or Littlewood-Paley functions involving only complex-tangential derivatives. A special case of our results is a characterization of $H^p$ itself involving only complex-tangential derivatives.
General
123
153
10.4171/RMI/66
http://www.ems-ph.org/doi/10.4171/RMI/66
Interpolation of Banach Spaces, Differential Geometry and Differential Equations
Stephen
Semmes
Rice University, HOUSTON, UNITED STATES
General
155
176
10.4171/RMI/67
http://www.ems-ph.org/doi/10.4171/RMI/67
$L^p$ Estimates for Degenerate Elliptic Equations
Antonio
Sánchez-Calle
Massachusetts Institute of Technology, CAMBRIDGE, UNITED STATES
General
177
185
10.4171/RMI/68
http://www.ems-ph.org/doi/10.4171/RMI/68
2
A Regularity Lemma for Functions of Several Variables
Jean-Lin
Journé
Princeton University, PRINCETON, UNITED STATES
General
187
193
10.4171/RMI/69
http://www.ems-ph.org/doi/10.4171/RMI/69
Sur la Distribution des Fonctions Dérivées
Jean-Pierre
Kahane
Université Paris-Sud, ORSAY CEDEX, FRANCE
General
195
198
10.4171/RMI/70
http://www.ems-ph.org/doi/10.4171/RMI/70
An Extremal Problem for Certain Subharmonic Functions in the Plane
Albert
Baernstein II
Washington University, ST. LOUIS, UNITED STATES
General
199
218
10.4171/RMI/71
http://www.ems-ph.org/doi/10.4171/RMI/71
Inversion in Some Algebras of Singular Integral Operators
Michael
Christ
University of California, BERKELEY, UNITED STATES
General
219
225
10.4171/RMI/72
http://www.ems-ph.org/doi/10.4171/RMI/72
Fatou Theorems for Some Nonlinear Elliptic Equations
Eugene
Fabes
University of Minnesota, MINNEAPOLIS, UNITED STATES
Nicola
Garofalo
Università di Padova, PADOVA, ITALY
S.
Marin-Malave
University of Minnesota, MINNEAPOLIS, UNITED STATES
Sandro
Salsa
Politecnico di Milano, MILANO, ITALY
General
227
251
10.4171/RMI/73
http://www.ems-ph.org/doi/10.4171/RMI/73
$H^p$-Theory on Euclidean Space and the Dirac Operator
John
Gilbert
University of Texas at Austin, AUSTIN, UNITED STATES
Margaret
Murray
Virginia Tech, BLACKSBURG, UNITED STATES
General
253
289
10.4171/RMI/74
http://www.ems-ph.org/doi/10.4171/RMI/74
$BMO$ Harmonic Approximation in the Plane and Spectral Synthesis for Hardy-Sobolev Spaces
Joan
Mateu
Universitat Autónoma de Barcelona, BARCELONA, SPAIN
Joan
Verdera
Universitat Autónoma de Barcelona, BARCELONA, SPAIN
General
291
318
10.4171/RMI/75
http://www.ems-ph.org/doi/10.4171/RMI/75
Almost-Everywhere Convergence of Fourier Integrals for Functions in Sobolev Spaces, and an $L^2$-Localisation Principle
Anthony
Carbery
University of Edinburgh, EDINBURGH, UNITED KINGDOM
Fernando
Soria
Universidad Autónoma de Madrid, MADRID, SPAIN
General
319
337
10.4171/RMI/76
http://www.ems-ph.org/doi/10.4171/RMI/76
Fundamental Solutions and Asymptotic Behaviour for the $p$-Laplacian Equation
Shoshana
Kamin
Tel-Aviv University, TEL-AVIV, ISRAEL
Juan Luis
Vázquez
Universidad Autónoma de Madrid, MADRID, SPAIN
We establish the uniqueness of fundamental solutions to the $p$-Laplacian equation $$\mathrm {(PLE)} \; u_t = \mathrm {div} (|Du|^{p-2}Du), \; p > 2,$$ defined for $x \in \mathbb R^N$, $0 < t < T$. We derive from this result the asymptotic behaviour of nonnegative solutions with finite mass, i.e. such that $u(\cdotp, t) \in L^1(\mathbb R^N)$. Our methods also apply to the porous medium equation $$\mathrm {(PME)} \; u_t = \Delta (u^m), \; m > 1,$$ giving new and simpler proofs of known results. We finally introduce yet another method of proving asymptotic results based on the idea of asymptotic radial symmetry. This method can be useful in dealing with more general equations.
General
339
354
10.4171/RMI/77
http://www.ems-ph.org/doi/10.4171/RMI/77
3
Estimates of Kernels on Three-Dimensional $CR$ Manifolds
Charles
Fefferman
Princeton University, PRINCETON, UNITED STATES
Joseph
Kohn
Princeton University, PRINCETON, UNITED STATES
General
355
405
10.4171/RMI/78
http://www.ems-ph.org/doi/10.4171/RMI/78
Infinite Group Actions on Spheres
Gaven
Martin
Massey University, AUCKLAND, NEW ZEALAND
General
407
451
10.4171/RMI/79
http://www.ems-ph.org/doi/10.4171/RMI/79
Comparison Principles and Pointwise Estimates for Viscosity Solutions of Nonlinear Elliptic Equations
Neil
Trudinger
Australian National University, CANBERRA, AUSTRALIA
We prove cornparison principles for viscosity solutions of nonlinear second order, uniforrnly elliptic equations, which extend previous results of P.L. Lions, R. Jensen and H. Ishii. Some basic pointwise estimates for classical solutions are also extended to continuous viscosity solutions.
General
453
468
10.4171/RMI/80
http://www.ems-ph.org/doi/10.4171/RMI/80
Calderón's Problem for Lipschitz Classes and the Dimension of Quasicircles
Kari
Astala
University of Helsinki, HELSINKI, FINLAND
General
469
486
10.4171/RMI/81
http://www.ems-ph.org/doi/10.4171/RMI/81