| LDR | | 02031nmm uu200397 4500 |
| 001 | | 000000331932 |
| 005 | | 20240805165653 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438019294 |
| 035 | |
▼a (MiAaPQ)AAI10826374 |
| 035 | |
▼a (MiAaPQ)ucla:16836 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Ntalampekos, Dimitrios. |
| 245 | 10 |
▼a Potential Theory on Sierpinski Carpets with Applications to Uniformization. |
| 260 | |
▼a [S.l.] :
▼b University of California, Los Angeles.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 218 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B. |
| 500 | |
▼a Adviser: Mario Bonk. |
| 502 | 1 |
▼a Thesis (Ph.D.)--University of California, Los Angeles, 2018. |
| 520 | |
▼a This research is motivated by the study of the geometry of fractal sets and is focused on uniformization problems: transformation of sets to canonical sets, using maps that preserve the geometry in some sense. More specifically, the main questio |
| 520 | |
▼a We first develop a potential theory and study harmonic functions on planar Sierpinski carpets. We introduce a discrete notion of Sobolev spaces on Sierpinski carpets and use this to define harmonic functions. Our approach differs from the classi |
| 520 | |
▼a Then we utilize this notion of harmonic functions to prove a uniformization result for Sierpinski carpets. Namely, it is proved that every planar Sierpinski carpet whose peripheral disks are uniformly fat, uniform quasiballs can be mapped to a s |
| 590 | |
▼a School code: 0031. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a University of California, Los Angeles.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 80-01B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0031 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998875
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자 |