A note on truncations in fractional Sobolev spaces
We study the Nemytskii operators u ↦ | u | and u ↦ u ± in fractional Sobolev spaces H s ( ℝ n ) , s > 1 .
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| Veröffentlicht in: | Bulletin of mathematical sciences 2019-04, Vol.9 (1), p.1950001-1950001-7 |
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| container_end_page | 1950001-7 |
|---|---|
| container_issue | 1 |
| container_start_page | 1950001 |
| container_title | Bulletin of mathematical sciences |
| container_volume | 9 |
| creator | Musina, Roberta Nazarov, Alexander I. |
| description | We study the Nemytskii operators
u
↦
|
u
|
and
u
↦
u
±
in fractional Sobolev spaces
H
s
(
ℝ
n
)
,
s
>
1
. |
| doi_str_mv | 10.1142/S1664360719500012 |
| format | Article |
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u
↦
|
u
|
and
u
↦
u
±
in fractional Sobolev spaces
H
s
(
ℝ
n
)
,
s
>
1
.</description><identifier>ISSN: 1664-3607</identifier><identifier>EISSN: 1664-3615</identifier><identifier>DOI: 10.1142/S1664360719500012</identifier><language>eng</language><publisher>World Scientific Publishing Company</publisher><subject>fractional laplacian ; sobolev spaces ; truncation operators</subject><ispartof>Bulletin of mathematical sciences, 2019-04, Vol.9 (1), p.1950001-1950001-7</ispartof><rights>2019, The Author(s)</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3952-b8f3f3b453315e4398277ed93eef22d8a1eceac7e6d1644bb4e199ec3bc083583</citedby><cites>FETCH-LOGICAL-c3952-b8f3f3b453315e4398277ed93eef22d8a1eceac7e6d1644bb4e199ec3bc083583</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.worldscientific.com/doi/reader/10.1142/S1664360719500012$$EPDF$$P50$$Gworldscientific$$Hfree_for_read</linktopdf><link.rule.ids>314,780,784,864,2102,27497,27924,27925,55569</link.rule.ids></links><search><creatorcontrib>Musina, Roberta</creatorcontrib><creatorcontrib>Nazarov, Alexander I.</creatorcontrib><title>A note on truncations in fractional Sobolev spaces</title><title>Bulletin of mathematical sciences</title><description>We study the Nemytskii operators
u
↦
|
u
|
and
u
↦
u
±
in fractional Sobolev spaces
H
s
(
ℝ
n
)
,
s
>
1
.</description><subject>fractional laplacian</subject><subject>sobolev spaces</subject><subject>truncation operators</subject><issn>1664-3607</issn><issn>1664-3615</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>ADCHV</sourceid><sourceid>DOA</sourceid><recordid>eNplkN1KAzEQhYMoWGofwLt9gdVMfjeXpfhTKHhRvV6S7ERS1k1JVsW3t7WyN72amcN8h8Mh5BboHYBg91tQSnBFNRhJKQV2QWZHqeYK5OW0U31NFqXsDi9UamO0mRG2rIY0YpWGasyfg7djTEOp4lCFbP3xsH21TS71-FWVvfVYbshVsH3Bxf-ck7fHh9fVc715eVqvlpvacyNZ7ZrAA3dCcg4SBTcN0xo7wxEDY11jAT1ar1F1oIRwTiAYg547TxsuGz4n65Nvl-yu3ef4YfNPm2xs_4SU31ubx-h7bBmDRgjVcB9QOI3OdpIL5rwB1dFDhDmBk5fPqZSMYfID2h47bM86PDD0xHyn3HfFRxzGGKKf0HPkF5SCcec</recordid><startdate>201904</startdate><enddate>201904</enddate><creator>Musina, Roberta</creator><creator>Nazarov, Alexander I.</creator><general>World Scientific Publishing Company</general><general>World Scientific Publishing</general><scope>ADCHV</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>DOA</scope></search><sort><creationdate>201904</creationdate><title>A note on truncations in fractional Sobolev spaces</title><author>Musina, Roberta ; Nazarov, Alexander I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3952-b8f3f3b453315e4398277ed93eef22d8a1eceac7e6d1644bb4e199ec3bc083583</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>fractional laplacian</topic><topic>sobolev spaces</topic><topic>truncation operators</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Musina, Roberta</creatorcontrib><creatorcontrib>Nazarov, Alexander I.</creatorcontrib><collection>World Scientific Open</collection><collection>CrossRef</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Bulletin of mathematical sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Musina, Roberta</au><au>Nazarov, Alexander I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A note on truncations in fractional Sobolev spaces</atitle><jtitle>Bulletin of mathematical sciences</jtitle><date>2019-04</date><risdate>2019</risdate><volume>9</volume><issue>1</issue><spage>1950001</spage><epage>1950001-7</epage><pages>1950001-1950001-7</pages><issn>1664-3607</issn><eissn>1664-3615</eissn><abstract>We study the Nemytskii operators
u
↦
|
u
|
and
u
↦
u
±
in fractional Sobolev spaces
H
s
(
ℝ
n
)
,
s
>
1
.</abstract><pub>World Scientific Publishing Company</pub><doi>10.1142/S1664360719500012</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1664-3607 |
| ispartof | Bulletin of mathematical sciences, 2019-04, Vol.9 (1), p.1950001-1950001-7 |
| issn | 1664-3607 1664-3615 |
| language | eng |
| recordid | cdi_crossref_primary_10_1142_S1664360719500012 |
| source | DOAJ Directory of Open Access Journals; World Scientific Open; EZB-FREE-00999 freely available EZB journals |
| subjects | fractional laplacian sobolev spaces truncation operators |
| title | A note on truncations in fractional Sobolev spaces |
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