All Stories

  1. A New Framework for Generalised Hajasz-Besov Spaces on Metric Measure Spaces

    Article • Journal of Mathematical Analysis and Applications, March 2026, Elsevier

    Walter Andrés Ortíz Vargas

  2. Non-collapsing measures and Sobolev embeddings on rough spaces

    Article • Positivity, March 2025, Springer Science + Business Media

    Walter Andrés Ortíz Vargas

  3. Rearrangement Poincaré inequalities and when measures behave “doubling”

    Article • Proceedings of the American Mathematical Society, June 2024, American Mathematical Society (AMS)

    Walter Andrés Ortíz Vargas

  4. Sobolev embeddings for fractional smoothness on general metric spaces.

    Article • Potential Analysis, May 2022, Springer Science + Business Media

    Walter Andrés Ortíz Vargas

  5. Smooth approximations in generalized Sobolev spaces on planar domains

    Article • Journal of Mathematical Analysis and Applications, November 2021, Elsevier

    Walter Andrés Ortíz Vargas

  6. Symmetrization inequalities for spaces with “heavy-tailed” probability measures

    Article • Annales Academiae Scientiarum Fennicae Mathematica, June 2020, Finnish Mathematical Society

    Walter Andrés Ortíz Vargas

  7. How functions behave on rough spaces: a new Sobolev-type result for Besov spaces

    Article • Journal of Mathematical Analysis and Applications, November 2019, Elsevier

    Walter Andrés Ortíz Vargas