Differences of the Weighted Differentiation Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces
We characterize the boundedness and compactness of the differences of weighted differentiation composition operators D φ 1 , u 1 n − D φ 2 , u 2 n , where n ∈ ℕ0, u 1 ,u 2 ∈ H( D ), and φ 1 , φ 2 2 S( D ), from mixed-norm spaces H(p, q, ϕ), where 0 < p, q < ∞ and ϕ is normal, to weighted-type...
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| Veröffentlicht in: | Ukrainian mathematical journal 2016-11, Vol.68 (6), p.959-971 |
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| container_title | Ukrainian mathematical journal |
| container_volume | 68 |
| creator | Chen, C. Zhou, Z.-H. |
| description | We characterize the boundedness and compactness of the differences of weighted differentiation composition operators
D
φ
1
,
u
1
n
−
D
φ
2
,
u
2
n
,
where n ∈ ℕ0, u
1
,u
2
∈ H(
D
), and
φ
1
,
φ
2
2 S(
D
), from mixed-norm spaces H(p, q, ϕ), where 0 < p, q < ∞ and ϕ is normal, to weighted-type spaces
H
υ
∞
. |
| doi_str_mv | 10.1007/s11253-016-1269-3 |
| format | Article |
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D
φ
1
,
u
1
n
−
D
φ
2
,
u
2
n
,
where n ∈ ℕ0, u
1
,u
2
∈ H(
D
), and
φ
1
,
φ
2
2 S(
D
), from mixed-norm spaces H(p, q, ϕ), where 0 < p, q < ∞ and ϕ is normal, to weighted-type spaces
H
υ
∞
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D
φ
1
,
u
1
n
−
D
φ
2
,
u
2
n
,
where n ∈ ℕ0, u
1
,u
2
∈ H(
D
), and
φ
1
,
φ
2
2 S(
D
), from mixed-norm spaces H(p, q, ϕ), where 0 < p, q < ∞ and ϕ is normal, to weighted-type spaces
H
υ
∞
.</description><subject>Algebra</subject><subject>Analysis</subject><subject>Applications of Mathematics</subject><subject>Differentiation</subject><subject>Geometry</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Operators</subject><subject>Statistics</subject><issn>0041-5995</issn><issn>1573-9376</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1kUtPxCAUhYnRxHH0B7hr4hrl0VJYTsZnMupCjUvCtJcRMy0VMHH-vYxV48awgFzOdzjkIHRMySklpD6LlLKKY0IFpkwozHfQhFY1x4rXYhdNCCkprpSq9tFBjK-EZErWEzScO2shQN9ALLwt0gsUz-BWLwna4ucuOZOc74u57wYf3df5foBgkg-xsMF3xa37gBbf-dAVD4PZmiX_a4QfNwN8zw_RnjXrCEff-xQ9XV48zq_x4v7qZj5b4KZUVcKtFCyHbGlthVVtZakwshJLpgiTteCUMbNsqWqFXCqWv11bInkFilhbMl7zKToZfYfg394hJv3q30Ofn9RUSiJZyYXMqtNRtTJr0K63PgXT5NVC5xrfg3V5PiuVKhUrS54BOgJN8DEGsHoIrjNhoynR2yb02ITOkfS2Cb1l2MjErO1XEP5E-Rf6BDG7ir0</recordid><startdate>20161101</startdate><enddate>20161101</enddate><creator>Chen, C.</creator><creator>Zhou, Z.-H.</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20161101</creationdate><title>Differences of the Weighted Differentiation Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces</title><author>Chen, C. ; Zhou, Z.-H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c495t-d862001d17f6f9d5f16a856b29028763122abd19d68b920167f0835e90ff42373</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Algebra</topic><topic>Analysis</topic><topic>Applications of Mathematics</topic><topic>Differentiation</topic><topic>Geometry</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Operators</topic><topic>Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, C.</creatorcontrib><creatorcontrib>Zhou, Z.-H.</creatorcontrib><collection>CrossRef</collection><jtitle>Ukrainian mathematical journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, C.</au><au>Zhou, Z.-H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Differences of the Weighted Differentiation Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces</atitle><jtitle>Ukrainian mathematical journal</jtitle><stitle>Ukr Math J</stitle><date>2016-11-01</date><risdate>2016</risdate><volume>68</volume><issue>6</issue><spage>959</spage><epage>971</epage><pages>959-971</pages><issn>0041-5995</issn><eissn>1573-9376</eissn><abstract>We characterize the boundedness and compactness of the differences of weighted differentiation composition operators
D
φ
1
,
u
1
n
−
D
φ
2
,
u
2
n
,
where n ∈ ℕ0, u
1
,u
2
∈ H(
D
), and
φ
1
,
φ
2
2 S(
D
), from mixed-norm spaces H(p, q, ϕ), where 0 < p, q < ∞ and ϕ is normal, to weighted-type spaces
H
υ
∞
.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11253-016-1269-3</doi><tpages>13</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0041-5995 |
| ispartof | Ukrainian mathematical journal, 2016-11, Vol.68 (6), p.959-971 |
| issn | 0041-5995 1573-9376 |
| language | eng |
| recordid | cdi_proquest_journals_1880824368 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Algebra Analysis Applications of Mathematics Differentiation Geometry Mathematics Mathematics and Statistics Operators Statistics |
| title | Differences of the Weighted Differentiation Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces |
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