A note on truncations in fractional Sobolev spaces

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A note on truncations in fractional Sobolev spaces. / Musina, Roberta; Nazarov, Alexander I.

In: Bulletin of Mathematical Sciences, Vol. 9, No. 1, 1950001, 2019.

Research output: Contribution to journal › Article › peer-review

Author

Musina, Roberta ; Nazarov, Alexander I. / A note on truncations in fractional Sobolev spaces. In: Bulletin of Mathematical Sciences. 2019 ; Vol. 9, No. 1.

BibTeX

@article{c4f929e87b1f4c708ad7ca96e34d04d7,

title = "A note on truncations in fractional Sobolev spaces",

abstract = "We study the Nemytskii operators u ↦→ |u| and u ↦→ u ± in fractional Sobolev spaces H s (R n ), s > 1. ",

keywords = "Fractional Laplacian, Sobolev spaces, truncation operators",

author = "Roberta Musina and Nazarov, {Alexander I.}",

year = "2019",

doi = "10.1142/S1664360719500012",

language = "English",

volume = "9",

journal = "Bulletin of Mathematical Sciences",

issn = "1664-3607",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - A note on truncations in fractional Sobolev spaces

AU - Musina, Roberta

AU - Nazarov, Alexander I.

PY - 2019

Y1 - 2019

N2 - We study the Nemytskii operators u ↦→ |u| and u ↦→ u ± in fractional Sobolev spaces H s (R n ), s > 1.

AB - We study the Nemytskii operators u ↦→ |u| and u ↦→ u ± in fractional Sobolev spaces H s (R n ), s > 1.

KW - Fractional Laplacian

KW - Sobolev spaces

KW - truncation operators

UR - http://www.scopus.com/inward/record.url?scp=85065625116&partnerID=8YFLogxK

U2 - 10.1142/S1664360719500012

DO - 10.1142/S1664360719500012

M3 - Article

VL - 9

JO - Bulletin of Mathematical Sciences

JF - Bulletin of Mathematical Sciences

SN - 1664-3607

IS - 1

M1 - 1950001

ER -

ID: 7753950