Spectral and functional inequalities on antisymmetric functions

Авторы

  • A. Laptev
    Imperial College London, UK
    Sirius Mathematics Center, Sirius University of Science and Technology
  • I.A. Shcherbakov
    Sirius Mathematics Center, Sirius University of Science and Technology

Ключевые слова:

Schrödinger operators, Lieb - Thirring and Cwikel - Lieb - Rozenblum inequalities, Sobolev and Hardy inequatilies, antisymmetric functions

Аннотация

We obtain a number of spectral and functional inequalities related to Schrödinger operators defined on antisymmetric functions. Among them are Lieb —Thirring and CLR inequalities. Besides, we find new constants for the
Sobolev and the Gagliardo — Nirenberg inequalities restricted to antisymmetric functions.

Загрузки

Опубликован

26.03.2025

Выпуск

Том 17 № 1 (2025): Уфимский математический журнал 2025, том 17, выпуск 1

Раздел

Статьи