lp,q-bounded sequences in function spaces
A sequence of measurable functions {fn} is called lp,q-bounded sequence, 0<p<∞, 0<q≤∞, if for any sequence of real numbers a={αn}∈lp,q we have supn|αnFn(ω)|<∞ ω-a.e., for any sequence {Fn} such that for every n functions fn anf Fn are equimeasurable. The main result gives necessa...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2003/935641 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556144266051584 |
|---|---|
| author | S. Ya. Novikov |
| author_facet | S. Ya. Novikov |
| author_sort | S. Ya. Novikov |
| collection | DOAJ |
| description | A sequence of measurable functions {fn} is called lp,q-bounded sequence, 0<p<∞, 0<q≤∞, if for any sequence of real numbers a={αn}∈lp,q we have supn|αnFn(ω)|<∞ ω-a.e., for any sequence {Fn} such that for every n functions fn anf Fn are equimeasurable. The main result gives necessary and sufficient conditions for the sequence being lp,q-bounded. |
| format | Article |
| id | doaj-art-91205f222d90479690d07127b973fbb7 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-91205f222d90479690d07127b973fbb72025-02-03T05:46:17ZengWileyJournal of Function Spaces and Applications0972-68022003-01-0111617410.1155/2003/935641lp,q-bounded sequences in function spacesS. Ya. Novikov0Samara, RussiaA sequence of measurable functions {fn} is called lp,q-bounded sequence, 0<p<∞, 0<q≤∞, if for any sequence of real numbers a={αn}∈lp,q we have supn|αnFn(ω)|<∞ ω-a.e., for any sequence {Fn} such that for every n functions fn anf Fn are equimeasurable. The main result gives necessary and sufficient conditions for the sequence being lp,q-bounded.http://dx.doi.org/10.1155/2003/935641 |
| spellingShingle | S. Ya. Novikov lp,q-bounded sequences in function spaces Journal of Function Spaces and Applications |
| title | lp,q-bounded sequences in function spaces |
| title_full | lp,q-bounded sequences in function spaces |
| title_fullStr | lp,q-bounded sequences in function spaces |
| title_full_unstemmed | lp,q-bounded sequences in function spaces |
| title_short | lp,q-bounded sequences in function spaces |
| title_sort | lp q bounded sequences in function spaces |
| url | http://dx.doi.org/10.1155/2003/935641 |
| work_keys_str_mv | AT syanovikov lpqboundedsequencesinfunctionspaces |