{"id":{"repo_id":"arkansas","oai_identifier":"oai:scholarworks.uark.edu:etd-2243"},"canonical_url":"https://search.dev.ndltd.org/etd/arkansas/oai:scholarworks.uark.edu:etd-2243","repository":{"repo_id":"arkansas","name":"University of Arkansas","base_url":"https://scholarworks.uark.edu/do/oai/"},"display":{"title":"Good Stein Neighborhood Bases for Nonsmooth Pseudoconvex Domains","abstract":"<p>In 1979, Dufresnoy showed that the existence of a good Stein neighborhood base for Ω ⊂ℂⁿ implies that one can solve the inhomogeneous Cauchy-Riemann equations in C^∞(Ω̄), even if the boundary of Ω is only Lipschitz. In my thesis, I will show sufficient conditions for the existence of a good Stein neighborhood base on a Lipschitz domain satisfying Property (P).</p>","abstract_html":"&lt;p&gt;In 1979, Dufresnoy showed that the existence of a good Stein neighborhood base for Ω ⊂ℂⁿ implies that one can solve the inhomogeneous Cauchy-Riemann equations in C^∞(Ω̄), even if the boundary of Ω is only Lipschitz. In my thesis, I will show sufficient conditions for the existence of a good Stein neighborhood base on a Lipschitz domain satisfying Property (P).&lt;/p&gt;","abstract_has_math":false,"creators":["Iwaki, Chizuko"],"institution":null,"degree_name":"Doctor of Philosophy in Mathematics (PhD)","degree_level":"Dissertation","degree_discipline":null,"degree_department":null,"school":null,"contributors":["Tjani, Maria","Raich, Andrew S."],"advisors":["Harrington, Phillip S."],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-07-01T07:00:00Z","date_published":"2015-07-01T07:00:00Z","updated_at":"2026-07-24T00:59:08Z","subjects":["Pure sciences","Cauchy-Riemann","Stein neighborhood base","Other Applied Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarworks.uark.edu/etd/1244","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Tjani, Maria","Raich, Andrew S."]},{"key":"dc:contributor.advisor","label":"Advisor","values":["Harrington, Phillip S."]},{"key":"dc:creator","label":"Author","values":["Iwaki, Chizuko"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2017-09-29T07:00:00Z"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy in Mathematics (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Pure sciences","Cauchy-Riemann","Stein neighborhood base","Other Applied Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarworks.uark.edu/etd/1244"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>In 1979, Dufresnoy showed that the existence of a good Stein neighborhood base for Ω ⊂ℂⁿ implies that one can solve the inhomogeneous Cauchy-Riemann equations in C^∞(Ω̄), even if the boundary of Ω is only Lipschitz. In my thesis, I will show sufficient conditions for the existence of a good Stein neighborhood base on a Lipschitz domain satisfying Property (P).</p>"]},{"key":"dc:title","label":"Title","values":["Good Stein Neighborhood Bases for Nonsmooth Pseudoconvex Domains"]}]}],"canonical_facts":{"dc:contributor":["Tjani, Maria","Raich, Andrew S."],"dc:contributor.advisor":["Harrington, Phillip S."],"dc:creator":["Iwaki, Chizuko"],"dc:date":["2015"],"dc:date.available":["2017-09-29T07:00:00Z"],"dc:description.abstract":["<p>In 1979, Dufresnoy showed that the existence of a good Stein neighborhood base for Ω ⊂ℂⁿ implies that one can solve the inhomogeneous Cauchy-Riemann equations in C^∞(Ω̄), even if the boundary of Ω is only Lipschitz. In my thesis, I will show sufficient conditions for the existence of a good Stein neighborhood base on a Lipschitz domain satisfying Property (P).</p>"],"dc:identifier":["https://scholarworks.uark.edu/etd/1244"],"dc:subject":["Pure sciences","Cauchy-Riemann","Stein neighborhood base","Other Applied Mathematics"],"dc:title":["Good Stein Neighborhood Bases for Nonsmooth Pseudoconvex Domains"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy in Mathematics (PhD)"]},"updated_at":"2026-07-24T00:59:08Z"}