2 papers
math.CA2022
Sign equidistribution of Legendre polynomials
Ángel D. Martínez, Francisco Torres de Lizaur
We prove {\em sign equidistribution} of Legendre polynomials: the ratio between the lengths of the regions in the interval where the Legendre polynomial assumes positive…
math.FA2020
An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces
Ángel D. Martínez, Daniel Spector
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 inequal…