Thesis (Selection of subject)Thesis (Selection of subject)(version: 368)
Thesis details
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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: 2015/2016
Thesis type: diploma 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: 12.08.2016
Date of assignment: 12.08.2016
Confirmed by Study dept. on: 24.01.2017
Date and time of defence: 12.06.2017 00:00
Date of electronic submission:07.05.2017
Date of submission of printed version:12.05.2017
Date of proceeded defence: 12.06.2017
Opponents: doc. RNDr. Dr. rer. nat. Jan Vybíral, Ph.D.
 
 
 
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.
 
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