Covering lemmas and BMO estimates for eigenfunctions on Riemannian surfaces.

Lu, Guozhen. "Covering lemmas and BMO estimates for eigenfunctions on Riemannian surfaces.." Revista Matemática Iberoamericana 7.3 (1991): 221-246. <http://eudml.org/doc/39417>.

@article{Lu1991,
abstract = {The principal aim of this note is to prove a covering Lemma in R2. As an application of this covering lemma, we can prove the BMO estimates for eigenfunctions on two-dimensional Riemannian manifolds (M2, g). We will get the upper bound estimate for || log |u| ||BMO, where u is the solution to Δu + λu = 0, for λ &gt; 1 and Δ is the Laplacian on (M2, g). A covering lemma on homogeneous spaces is also obtained in this note.},
author = {Lu, Guozhen},
journal = {Revista Matemática Iberoamericana},
keywords = {Autofunciones; Lemas de cubrimiento; Espacio homogéneo; Superficies Riemann; Variedad riemanniana; Transformada de Laplace; Medidas de Borel; BMO estimate; Laplace operator; nodal set; Riemannian manifold; covering lemma},
language = {eng},
number = {3},
pages = {221-246},
title = {Covering lemmas and BMO estimates for eigenfunctions on Riemannian surfaces.},
url = {http://eudml.org/doc/39417},
volume = {7},
year = {1991},
}

TY - JOUR
AU - Lu, Guozhen
TI - Covering lemmas and BMO estimates for eigenfunctions on Riemannian surfaces.
JO - Revista Matemática Iberoamericana
PY - 1991
VL - 7
IS - 3
SP - 221
EP - 246
AB - The principal aim of this note is to prove a covering Lemma in R2. As an application of this covering lemma, we can prove the BMO estimates for eigenfunctions on two-dimensional Riemannian manifolds (M2, g). We will get the upper bound estimate for || log |u| ||BMO, where u is the solution to Δu + λu = 0, for λ &gt; 1 and Δ is the Laplacian on (M2, g). A covering lemma on homogeneous spaces is also obtained in this note.
LA - eng
KW - Autofunciones; Lemas de cubrimiento; Espacio homogéneo; Superficies Riemann; Variedad riemanniana; Transformada de Laplace; Medidas de Borel; BMO estimate; Laplace operator; nodal set; Riemannian manifold; covering lemma
UR - http://eudml.org/doc/39417
ER -