- journal articles metadata
European Mathematical Society Publishing House
2024-03-29 06:30:30
4
https://www.ems-ph.org/meta/jmeta-stream.php?jrn=RMI&vol=7&iss=3&update_since=2024-03-29
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)
7
1991
3
Covering Lemmas and HMO Estimates for Eigenfunctions on Riemannian Surfaces
Guozhen
Lu
Wayne State University, DETROIT, UNITED STATES
The principal aim of this note is to prove a covering Lemma in $\mathbb R^2$. As an application of this covering lemma, we can prove the BMO estimates for eigenfunctions on two-dimensional Riemannian manifolds $(M^2, g)$. We will get the upper bound estimate for $\| \mathrm {log} | u \||_{BMO}$, where $u$ is the solution to $\Delta u + \lambda u = 0$, for $\lambda > 1$ and $\Delta$ is the Laplacian on $(M^2, g)$. A covering lemma in homogeneous spaces is also obtained in this note.
General
221
246
10.4171/RMI/111
http://www.ems-ph.org/doi/10.4171/RMI/111
Mean value and Harnack inequalities for a certain class of degenerate parabolic equations
Jose
Fernandes
Universidade de São Paulo, SÃO PAULO SP, BRAZIL
General
247
286
10.4171/RMI/112
http://www.ems-ph.org/doi/10.4171/RMI/112
Analytic Dependence of Orthogonal Polynomials
Enrico
Laeng
Politecnica di Milano, MILANO, ITALY
General
287
312
10.4171/RMI/113
http://www.ems-ph.org/doi/10.4171/RMI/113
Harnack Inequality and Green Function for a Certain Class of Degenerate Elliptic Differential Operators
Oscar
Salinas
Universidad Nacional del Litoral, SANTA FÉ, ARGENTINA
General
313
349
10.4171/RMI/114
http://www.ems-ph.org/doi/10.4171/RMI/114