On Integral Operators with Operator-Valued Kernels
<p/> <p>Here, we study the continuity of integral operators with operator-valued kernels. Particularly we get <inline-formula> <graphic file="1029-242X-2010-850125-i1.gif"/></inline-formula> estimates under some natural conditions on the kernel <inline-form...
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| Language: | English |
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2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/850125 |
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doaj-b75c19cc7e32494e92e120c54758fd342020-11-24T22:00:26ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101850125On Integral Operators with Operator-Valued KernelsShahmurov Rishad<p/> <p>Here, we study the continuity of integral operators with operator-valued kernels. Particularly we get <inline-formula> <graphic file="1029-242X-2010-850125-i1.gif"/></inline-formula> estimates under some natural conditions on the kernel <inline-formula> <graphic file="1029-242X-2010-850125-i2.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-850125-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-850125-i4.gif"/></inline-formula> are Banach spaces, and <inline-formula> <graphic file="1029-242X-2010-850125-i5.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-850125-i6.gif"/></inline-formula> are positive measure spaces: Then, we apply these results to extend the well-known Fourier Multiplier theorems on Besov spaces.</p>http://www.journalofinequalitiesandapplications.com/content/2010/850125 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Shahmurov Rishad |
| spellingShingle |
Shahmurov Rishad On Integral Operators with Operator-Valued Kernels Journal of Inequalities and Applications |
| author_facet |
Shahmurov Rishad |
| author_sort |
Shahmurov Rishad |
| title |
On Integral Operators with Operator-Valued Kernels |
| title_short |
On Integral Operators with Operator-Valued Kernels |
| title_full |
On Integral Operators with Operator-Valued Kernels |
| title_fullStr |
On Integral Operators with Operator-Valued Kernels |
| title_full_unstemmed |
On Integral Operators with Operator-Valued Kernels |
| title_sort |
on integral operators with operator-valued kernels |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| description |
<p/> <p>Here, we study the continuity of integral operators with operator-valued kernels. Particularly we get <inline-formula> <graphic file="1029-242X-2010-850125-i1.gif"/></inline-formula> estimates under some natural conditions on the kernel <inline-formula> <graphic file="1029-242X-2010-850125-i2.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-850125-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-850125-i4.gif"/></inline-formula> are Banach spaces, and <inline-formula> <graphic file="1029-242X-2010-850125-i5.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-850125-i6.gif"/></inline-formula> are positive measure spaces: Then, we apply these results to extend the well-known Fourier Multiplier theorems on Besov spaces.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2010/850125 |
| work_keys_str_mv |
AT shahmurovrishad onintegraloperatorswithoperatorvaluedkernels |
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1725844465143250944 |