COURSE OUTLINE - Mathematics 9306A - Banach Function Spaces

Location and Times: MWF 12:30-1:30 from Sep 5 to Dec 4, 2019 in MC 108

Prerequisites: A course in Measure Theory

Instructor Information: Gord Sinnamon (sinnamon@uwo.ca), Professor, Department of Mathematics.

Course Description: Function spaces and duality, Lebesgue and Lorentz spaces, rearrangement-invariant spaces, weighted Hardy inequalities, interpolation spaces, Calderon's theorem, positive operators, monotonicity in function spaces.

Textbook: None, course notes will be provided.

Coursework: Students are expected to attend all lectures and complete all assignments and examinations. No aids are permitted in examinations.

Evaluation: Assignments 30%, Midterm 30%, Final Examination 40%. There will be five assignments tentatively due on Sept 20, Oct 4, Oct 18, Nov 13, and Nov 27. The midterm test will be held in late October and the final examination will be held during the mid-year examination period in December; both will be scheduled in consultation with students.

Absences: If you miss or expect to miss a lecture, an assignment deadline, the midterm, or the final examination, contact Gord Sinnamon as soon as possible. Approved absences will be accommodated.

Link to the website for Registrarial Services: http://www.registrar.uwo.ca. Link to learning skills services at the Student Development Centre: http://www.sdc.uwo.ca. Link to policy on Accommodation Consideration for Student Absences: www.uwo.ca/univsec/pdf/academic_policies/appeals/Academic_Consideration_for_absences.pdf (which includes a link to the Student Medical Certificate). Link to the policy on Accommodation for Students with Disabilities: www.uwo.ca/univsec/pdf/academic_policies/appeals/Academic%20Accommodation_disabilities.pdf. Link to the policy on Accommodation for Religious Holidays www.uwo.ca/univsec/pdf/academic_policies/appeals/accommodation_religious.pdf. Responsibility for checking prerequisites: Unless you have either the requisites for this course or written special permission from your Dean to enroll in it, you may be removed from this course and it will be deleted from your record. This decision may not be appealed. You will receive no adjustment to your fees in the event that you are dropped from a course for failing to have the necessary prerequisites. Statement on academic offences: Scholastic offences are taken seriously and students are directed to read the appropriate policy, specifically, the definition of what constitutes a Scholastic Offence, at the following Web site: https://www.uwo.ca/univsec/pdf/academic_policies/appeals/scholastic_discipline_grad.pdf. Statement on services for students in emotional/mental health distress: Students who are in emotional/mental distress should refer to Mental Health@Western http://www.uwo.ca/uwocom/mentalhealth/ for a complete list of options about how to obtain help. Accessibility statement: Western is committed to achieving barrier-free accessibility for all its members, including graduate students. As part of this commitment, Western provides a variety of services devoted to promoting, advocating, and accommodating persons with disabilities in their respective graduate program. Graduate students with disabilities (for example, chronic illnesses, mental health conditions, mobility impairments) are encouraged to register with Student Accessibility Services, a confidential service designed to support graduate and undergraduate students through their academic program. With the appropriate documentation, the student will work with both SAS and their graduate programs (normally their Graduate Chair and/or Course instructor) to ensure that appropriate academic accommodations to program requirements are arranged. These accommodations include individual counselling, alternative formatted literature, accessible campus transportation, learning strategy instruction, writing exams and assistive technology instruction. Refer to http://www.sdc.uwo.ca/ssd/.