This thesis studies questions related to the boundedness of the integral op- erator T : f → 1 t wf∗ , where w is a given non-increasing function and f∗ is a non-increasing rearrange- ment of a function f. The main goal is to characterize the optimal range for the operator and a given domain and conversely optimal domain for a given range. These results are then illustrated on particular examples. Lastly, some necessary conditions for the existence of optimal space are given. 1
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:434946 |
| Date | January 2020 |
| Creators | Krejčí, Jan |
| Contributors | Pick, Luboš, Nekvinda, Aleš |
| Source Sets | Czech ETDs |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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