A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions
We study the properties of the Triebel-Lizorkin spaces associated with the multidimensional Hermite expansions on Rd (d≥1). In addition to the endpoint estimates, we give the continuous characterizations of these spaces via harmonic and thermic extensions from Rd into R+d+1. Based on this result, we...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/104897 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849304384052133888 |
|---|---|
| author | Shuli Gong Bolin Ma Zunwei Fu |
| author_facet | Shuli Gong Bolin Ma Zunwei Fu |
| author_sort | Shuli Gong |
| collection | DOAJ |
| description | We study the properties of the Triebel-Lizorkin spaces associated with the multidimensional Hermite expansions on Rd (d≥1). In addition to the endpoint estimates, we give the continuous characterizations of these spaces via harmonic and thermic extensions from Rd into R+d+1. Based on this result, we obtain the boundedness of Riesz transform associated with the Hermite expansions. |
| format | Article |
| id | doaj-art-19456dff6d4f4f3abad8d95b1b24bb28 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-19456dff6d4f4f3abad8d95b1b24bb282025-08-20T03:55:45ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/104897104897A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite ExpansionsShuli Gong0Bolin Ma1Zunwei Fu2Department of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaCollege of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaWe study the properties of the Triebel-Lizorkin spaces associated with the multidimensional Hermite expansions on Rd (d≥1). In addition to the endpoint estimates, we give the continuous characterizations of these spaces via harmonic and thermic extensions from Rd into R+d+1. Based on this result, we obtain the boundedness of Riesz transform associated with the Hermite expansions.http://dx.doi.org/10.1155/2015/104897 |
| spellingShingle | Shuli Gong Bolin Ma Zunwei Fu A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions Journal of Function Spaces |
| title | A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions |
| title_full | A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions |
| title_fullStr | A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions |
| title_full_unstemmed | A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions |
| title_short | A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions |
| title_sort | continuous characterization of triebel lizorkin spaces associated with hermite expansions |
| url | http://dx.doi.org/10.1155/2015/104897 |
| work_keys_str_mv | AT shuligong acontinuouscharacterizationoftriebellizorkinspacesassociatedwithhermiteexpansions AT bolinma acontinuouscharacterizationoftriebellizorkinspacesassociatedwithhermiteexpansions AT zunweifu acontinuouscharacterizationoftriebellizorkinspacesassociatedwithhermiteexpansions AT shuligong continuouscharacterizationoftriebellizorkinspacesassociatedwithhermiteexpansions AT bolinma continuouscharacterizationoftriebellizorkinspacesassociatedwithhermiteexpansions AT zunweifu continuouscharacterizationoftriebellizorkinspacesassociatedwithhermiteexpansions |