Work

A sharp higher order Sobolev embedding

Year: 2025

Type: article

Abstract: We obtain sharp embeddings from the Sobolev space into the space and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.

Source: Mathematika

DOI: 10.1112/mtk.70012

Authors: Raul Hindov, Shahaf Nitzan, Jan‐Fredrik Olsen, Eskil Rydhe

Institutions: Lund University, Georgia Institute of Technology

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: National Science Foundation, Vetenskapsrådet

Awards: CAREER: Bases in Hilbert Function Spaces and Some of their Applications, New perspectives on vectorial Hankel operators, G6671297155

OpenAlex ID: W4408367103

FWCI: 4.487

Cites: 6

Cited by: 4

Related to: 10