Multipliers on weighted Hardy spaces over certain totally disconnected groups
In this note, we consider the multipliers on weighted H1 spaces over totally disconnected locally compact abelian groups with a suitable sequence of open compact subgroups (Vilenkin groups). We first show an (H1,L1) multiplier result from which Onneweer's theorem follows. We also give an (H1,H1...
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| Format: | Article |
| Language: | English |
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Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117128800081X |
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| _version_ | 1832558232396103680 |
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| author | Toshiyuki Kitada |
| author_facet | Toshiyuki Kitada |
| author_sort | Toshiyuki Kitada |
| collection | DOAJ |
| description | In this note, we consider the multipliers on weighted H1 spaces over totally disconnected locally compact abelian groups with a suitable sequence of open compact subgroups (Vilenkin groups). We first show an (H1,L1) multiplier result from which Onneweer's theorem follows. We also give an (H1,H1) multiplier result under a condition of Baernstein-Sawyer type. |
| format | Article |
| id | doaj-art-2dde12142bd843c2b915c5fbb34fc08b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2dde12142bd843c2b915c5fbb34fc08b2025-02-03T01:32:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111466567410.1155/S016117128800081XMultipliers on weighted Hardy spaces over certain totally disconnected groupsToshiyuki Kitada0Department of Mathematics, Faculty of General Education, Hirosaki University, Hirosaki 036, JapanIn this note, we consider the multipliers on weighted H1 spaces over totally disconnected locally compact abelian groups with a suitable sequence of open compact subgroups (Vilenkin groups). We first show an (H1,L1) multiplier result from which Onneweer's theorem follows. We also give an (H1,H1) multiplier result under a condition of Baernstein-Sawyer type.http://dx.doi.org/10.1155/S016117128800081Xtotally disconnected groupsweighted H1 spacesweighted Lp spacesmultipliers. |
| spellingShingle | Toshiyuki Kitada Multipliers on weighted Hardy spaces over certain totally disconnected groups International Journal of Mathematics and Mathematical Sciences totally disconnected groups weighted H1 spaces weighted Lp spaces multipliers. |
| title | Multipliers on weighted Hardy spaces over certain totally disconnected groups |
| title_full | Multipliers on weighted Hardy spaces over certain totally disconnected groups |
| title_fullStr | Multipliers on weighted Hardy spaces over certain totally disconnected groups |
| title_full_unstemmed | Multipliers on weighted Hardy spaces over certain totally disconnected groups |
| title_short | Multipliers on weighted Hardy spaces over certain totally disconnected groups |
| title_sort | multipliers on weighted hardy spaces over certain totally disconnected groups |
| topic | totally disconnected groups weighted H1 spaces weighted Lp spaces multipliers. |
| url | http://dx.doi.org/10.1155/S016117128800081X |
| work_keys_str_mv | AT toshiyukikitada multipliersonweightedhardyspacesovercertaintotallydisconnectedgroups |