Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Martínez Ángel D."'
Autor:
Martínez, Ángel D.
In this paper we use the convex integration technique enhanced by an extra iteration originally due to K\"all\'en and revisited by Kr\"oner to provide a local $h$-principle for isometric embeddings in the class $C^{1,1-\epsilon}$ for $n$-dimensional
Externí odkaz:
http://arxiv.org/abs/2409.00440
Autor:
Martínez, Ángel D.
We devote this paper to provide an abstract generalization of an iteration originally due to K\"all\'en, and revisited later by Kr\"oner, that might be of independent interest.
Comment: This has been published as an Appendix to another paper, na
Comment: This has been published as an Appendix to another paper, na
Externí odkaz:
http://arxiv.org/abs/2409.00439
Autor:
Martínez Ángel D., Spector Daniel
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 877-894 (2020)
It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate. While thes
Externí odkaz:
https://doaj.org/article/279dc17acadf4f25b38021512a7e4c98
We prove {\em sign equidistribution} of Legendre polynomials: the ratio between the lengths of the regions in the interval $[-1, 1]$ where the Legendre polynomial assumes positive versus negative values, converges to one as the degree grows. The proo
Externí odkaz:
http://arxiv.org/abs/2205.14493
In this paper we study a number of conjectures on the behavior of the value distribution of eigenfunctions. On the two dimensional torus we observe that the symmetry conjecture holds in the strongest possible sense. On the other hand we provide a cou
Externí odkaz:
http://arxiv.org/abs/2205.14491
Autor:
Martínez, Ángel D.
The eigenfunctions of the Laplacian are a central object from the realms of analytic number theory to geometric analysis. We prove that H\"ormander $L^2$-$L^{\infty}$ estimates are equivalent to restriction estimates to small geodesic spheres for a c
Externí odkaz:
http://arxiv.org/abs/2205.14489
Autor:
Alonso-Orán, Diego, Martínez, Ángel D.
In this note we show finite time blow-up for a class of non-local active scalar equations on compact Riemannian manifolds. The strategy we follow was introduced by Silvestre and Vicol to deal with the one dimensional C\'ordoba-C\'ordoba-Fontelos equa
Externí odkaz:
http://arxiv.org/abs/2205.15310
Autor:
Martínez, Ángel D.
In this paper we prove an exponential covering lemma implying the three dimensional case of a well-known conjecture formulated by A. Zygmund circa 1935 and solved by A. C\'ordoba in 1978. Our approach avoids a subtle argument involving the power seri
Externí odkaz:
http://arxiv.org/abs/2205.15309
Autor:
Martínez, Ángel D., Spector, Daniel
It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate. While thes
Externí odkaz:
http://arxiv.org/abs/2007.04576
A set $P\subset \mathbb{F}_p^n\times\mathbb{F}_p^n$ is called $\textit{bilinear}$ when it is the zero set of a family of linear and bilinear forms, and $\textit{transverse}$ when it is stable under vertical and horizontal sums. A theorem of the first
Externí odkaz:
http://arxiv.org/abs/1811.09853