2026-09-23T17:43:33Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/46744 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Tyson, Jeremy T. Li, Xiaochun Tyson, Jeremy T. Wu, Jang-Mei Erdogan, M. Burak DeJarnette, Noel 2014-01-16T18:00:57Z 2014-01-16T18:00:57Z 2013-12 2014-01-16T18:00:57Z 2013-12 In [20], Keith and Zhong prove that spaces admitting Poincar e inequalities also admit a priori stronger Poincar e inequalities. We use their technique, with slight adjustments, to obtain a similar result in the case of Orlicz-Poincar e inequalities. We give examples in the plane that show all hypotheses are required and develop the theory of Orlicz-Poincar e inequalities for nondoubling Young functions to show that the ∞-Poincar e inequality does not improve to any Orlicz-Poincar e inequality. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-12-04T14:24:26Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 DeJarnette_Noel.tex: 6895 bytes, checksum: ba52bc8eaedb6f0ac0c8088e5cfbf6e9 (MD5) DeJarnette_Noel.pdf: 991710 bytes, checksum: 6bed0515216e034b62610f097f32e286 (MD5) Made available in DSpace on 2014-01-16T18:00:57Z (GMT). No. of bitstreams: 3 Noel_DeJarnette.pdf: 991710 bytes, checksum: 6bed0515216e034b62610f097f32e286 (MD5) DeJarnette_Noel.tex: 6895 bytes, checksum: ba52bc8eaedb6f0ac0c8088e5cfbf6e9 (MD5) license.txt: 4065 bytes, checksum: a0da2e4c95635aaf26504ab19a9652cc (MD5) http://hdl.handle.net/2142/46744 en Copyright 2013 Noel DeJarnette Orlicz Functions Poincare inequality maximal function operator Self improving Orlicz-Poincare inequalities text Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD