All functions are locally s-harmonic up to a small error

Research output: Contribution to journalArticle

Abstract

We prove that, if s∉{1,2,…}, then any Ck(B¯1)-function can be approximated in the norm of this space by the functions which are s-harmonic in B1.

Original languageEnglish (US)
Pages (from-to)2728-2733
Number of pages6
JournalJournal of Functional Analysis
Volume277
Issue number8
DOIs
StatePublished - Oct 15 2019

Fingerprint

Harmonic
Norm

Keywords

  • Approximation
  • Density properties
  • s-harmonic functions
  • s-potentials

Cite this

All functions are locally s-harmonic up to a small error. / Krylov, Nicolai V.

In: Journal of Functional Analysis, Vol. 277, No. 8, 15.10.2019, p. 2728-2733.

Research output: Contribution to journalArticle

@article{71ca207743da4979925e081953e31788,
title = "All functions are locally s-harmonic up to a small error",
abstract = "We prove that, if s∉{1,2,…}, then any Ck(B¯1)-function can be approximated in the norm of this space by the functions which are s-harmonic in B1.",
keywords = "Approximation, Density properties, s-harmonic functions, s-potentials",
author = "Krylov, {Nicolai V}",
year = "2019",
month = "10",
day = "15",
doi = "10.1016/j.jfa.2019.02.012",
language = "English (US)",
volume = "277",
pages = "2728--2733",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "8",

}

TY - JOUR

T1 - All functions are locally s-harmonic up to a small error

AU - Krylov, Nicolai V

PY - 2019/10/15

Y1 - 2019/10/15

N2 - We prove that, if s∉{1,2,…}, then any Ck(B¯1)-function can be approximated in the norm of this space by the functions which are s-harmonic in B1.

AB - We prove that, if s∉{1,2,…}, then any Ck(B¯1)-function can be approximated in the norm of this space by the functions which are s-harmonic in B1.

KW - Approximation

KW - Density properties

KW - s-harmonic functions

KW - s-potentials

UR - http://www.scopus.com/inward/record.url?scp=85061564164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85061564164&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2019.02.012

DO - 10.1016/j.jfa.2019.02.012

M3 - Article

VL - 277

SP - 2728

EP - 2733

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 8

ER -