A BMO-Type Characterization of Higher Order Sobolev Spaces-Reference-Cited by-同舟云学术

A BMO-Type Characterization of Higher Order Sobolev Spaces

Published:2022-03-11 Issue: Volume: Page:
ISSN:0926-2601
Container-title:Potential Analysis
language:en
Short-container-title:Potential Anal

Author:

Bianco Serena Guarino Lo,Schiattarella Roberta^ORCID

Abstract

AbstractWe obtain a new characterization of the higher Sobolev space

$W^{m,p}(\mathbb R^{n})$

W m , p ( ℝ n ) ,

$m\in \mathbb N$

m ∈ ℕ and

$p\in (1, +\infty )$

p ∈ ( 1 , + ∞ ) and of the space BVm, the space of functions of higher order bounded variation. The characterizations are in term of BMO-type seminorms. The results unify and substantially extend previous results in Fusco et al. (ESAIM Control Optim. Calc Var., 24(2), 835–847 2018) and Farroni et al. (J. Funct. Anal., 278(9), 108451 2020).

Funder

Miur

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Link

https://link.springer.com/content/pdf/10.1007/s11118-022-09987-8.pdf

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