Optimality of function spaces for classical integral operators
| Thesis title in Czech: | Optimalita prostorů funkcí pro klasické integrální operátory |
|---|---|
| Thesis title in English: | Optimality of function spaces for classical integral operators |
| Key words: | prostory funkcí invariantní vůči nerostoucímu přerovnání, integrální operátory, optimalita, Hilbertova transformace, Rieszův potenciál |
| English key words: | rearrangement–invariant spaces, integral operators, optimality, Hilbert transform, Riesz potential |
| Academic year of topic announcement: | 2017/2018 |
| Thesis type: | rigorosum thesis |
| Thesis language: | angličtina |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | prof. RNDr. Luboš Pick, CSc., DSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 04.05.2018 |
| Date of assignment: | 04.05.2018 |
| Confirmed by Study dept. on: | 04.05.2018 |
| Date and time of defence: | 22.05.2018 00:00 |
| Date of electronic submission: | 04.05.2018 |
| Date of submission of printed version: | 04.05.2018 |
| Date of proceeded defence: | 22.05.2018 |
| Guidelines |
| Student se pokusí dosáhnout nových výzkumných výsledků při studiu problému charakterizace optimálních prostorů funkcí pro klasické integrální operátory. |
| References |
| C. Bennett, R. Sharpley: Interpolation of operators, Academic Press, Boston, 1988,
Evans, W. D.; Opic, B.; Pick, L. Interpolation of operators on scales of generalized Lorentz-Zygmund spaces. Math. Nachr. 182 (1996), 127–181, Cianchi, A.; Kerman, R.; Opic, B.; Pick, L. A sharp rearrangement inequality for the fractional maximal operator. Studia Math. 138 (2000), no. 3, 277–284, Gogatishvili, Amiran; Opic, Bohumír; Pick, Luboš Weighted inequalities for Hardy-type operators involving suprema. Collect. Math. 57 (2006), no. 3, 227–255, Kerman, Ron; Pick, Luboš Optimal Sobolev imbeddings. Forum Math. 18 (2006), no. 4, 535–570. |