A covering property of some classes of sets in $\mathbb {R}^2$

Tamás Keleti

Displaying similar documents to “A covering property of some classes of sets in $ℝ^{2}$ ”

Covering lemmas and BMO estimates for eigenfunctions on Riemannian surfaces.

Guozhen Lu (1991)

Revista Matemática Iberoamericana

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The principal aim of this note is to prove a covering Lemma in R. As an application of this covering lemma, we can prove the BMO estimates for eigenfunctions on two-dimensional Riemannian manifolds (M, g). We will get the upper bound estimate for || log |u| ||, where u is the solution to Δu + λu = 0, for λ > 1 and Δ is the Laplacian on (M, g). A covering lemma on homogeneous spaces is also obtained in this note.