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Whitney?s extension theorem and the finiteness principle for curves in the Heisenberg group

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (2)

Consider the sub-Riemannian Heisenberg group H. In this paper, we answer the following question: given a compact set K subset of R and a continuous ma......

Local well-posedness for the gKdV equation on the background of a bounded function

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (1)

We prove the local well-posedness for the generalized Korteweg-de Vries equation in Hs.R/, s > 1=2, under general assumptions on the nonlinearity f......

Curvature estimates for p-convex hypersurfaces of prescribed curvature

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (3)

In this paper, we establish curvature estimates for p-convex hypersur-faces in Rn+1 of prescribed curvature with p ⠕ n=2. The existence of a star-shap......

Holomorphic semigroups and Sarason?s characterization of vanishing mean oscillation

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (1)

It is a classical theorem of Sarason that an analytic function of bounded mean oscillation (BMOA) is of vanishing mean oscillation if and only if its ......

Growth of Sobolev norms for 2d NLS with harmonic potential

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (4)

We prove polynomial upper bounds on the growth of solutions to the 2d cubic nonlinear Schrodinger equation where the Laplacian is confined by the harm......

A set with no Riesz basis of exponentials

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (6)

We show that there exists a bounded subset of R such that no system of exponentials can be a Riesz basis for the corresponding Hilbert space. An addit......

Positive solutions of the p-Laplacian with potential terms on weighted Riemannian manifolds with linear diameter growth

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (6)

In this paper, we consider the p-Laplacian with potential terms on a connected, noncompact, complete weighted Riemannian manifold whose Ricci cur-vatu......

General i-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (4)

In this work we consider the two-dimensional Dirac operator with general local singular interactions supported on a closed curve. A systematic study o......

The reconstruction theorem in quasinormed spaces

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (4)

We extend the Hairer reconstruction theorem for distributions due to Caravenna and Zambotti [EMS Surv. Math. Sci. 7 (2020), 207-251] to general functi......

Cauchy?s surface area formula in the Heisenberg groups

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (1)

We show an analogue of Cauchy's surface area formula for the Heisen-berg groups Iffn for n > 1, which states that the p-area of any compact hypersu......

Real semisimple Lie groups and balanced metrics

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (2)

Given any non-compact real simple Lie group Go of inner type and even dimension, we prove the existence of an invariant complex structure J and a Her-......

Carleson perturbations for the regularity problem

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (6)

We prove that the solvability of the regularity problem in Lq(@S2) is sta-ble under Carleson perturbations. If the perturbation is small, then the sol......

A Fubini type theorem for rough integration

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (2)

Jointly controlled paths as used in Gerasimovics and Hairer (2019), are a class of two-parameter paths Y controlled by a p-rough path X for 2 <= p ......

On the rational approximation to p-adic Thue-Morse numbers

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (4)

Let p be a prime number and let & xi; be an irrational p-adic number. Its multiplicative irrationality exponent & mu;X(& xi;) is the supre......

The regularity problem for degenerate elliptic operators in weighted spaces

期刊: REVISTA MATEMATICA IBEROAMERICANA, 2023; 39 (2)

We study the solvability of the regularity problem for degenerate elliptic operators in the block case for data in weighted spaces. More precisely, le......

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