From Besov to Sobolev: Looking at Non-Compact Embeddings

Speaker(s)

Jan Lang

Affiliation

Ohio State University

Language of the talk

English

Date

April 2, 2025, 12:30 p.m.

Room

room 3170

Seminar

Seminarium Zakładu Równań i Analizy

---

In this talk, we will explore the interplay between Besov and Sobolev spaces, focusing on describing properties for non-compact embedding (i.e., strict singularity, etc.). We will begin with an introduction to Besov spaces, highlighting their structure and their relationship with sequence spaces via wavelet decompositions. Using these insights, we will analyze when embeddings between Besov spaces are strictly singular or finitely strictly singular. We will then apply these results to Sobolev embeddings, particularly into Lorentz spaces and provide a more precise characterization of non-compactness.

---