Boundedness of certain oscillatory integrals on weighted Lp spaces and some results on weighted weak Hp for 0 < p < 1

Boundedness of certain oscillatory integrals on weighted Lp spaces and some results on weighted weak Hp for 0 < p < 1

In this thesis, we provide a necessary and sufficient condition for Lp boundedness of a class of oscillatory integrals with Calderon-Zygmund (C-Z) Kernel and establish weighted norm inequalities for them. We also prove some weighted norm inequalities for a class of oscillatory integrals with rough k...

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Bibliographic Details
Main Author: Zhang, Yan, 1963-
Other Authors: I. Klemes (advisor)
Format: Others
Language:en
Published: McGill University 1997
Subjects:
Mathematics.
Online Access:http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=35658
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-QMM.356582014-02-13T04:07:18ZBoundedness of certain oscillatory integrals on weighted Lp spaces and some results on weighted weak Hp for 0 < p < 1Zhang, Yan, 1963-Mathematics.In this thesis, we provide a necessary and sufficient condition for Lp boundedness of a class of oscillatory integrals with Calderon-Zygmund (C-Z) Kernel and establish weighted norm inequalities for them. We also prove some weighted norm inequalities for a class of oscillatory integrals with rough kernel. Finally, we discuss the question of the sharpness of certain weighted weak type inequalities for standard C-Z operators.McGill UniversityI. Klemes (advisor)1997Electronic Thesis or Dissertationapplication/pdfenalephsysno: 001615447proquestno: NQ44644Theses scanned by UMI/ProQuest.All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.Doctor of Philosophy (Department of Mathematics and Statistics) http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=35658
collection NDLTD
language en
format Others
sources NDLTD
topic Mathematics.
spellingShingle Mathematics.
Zhang, Yan, 1963-
Boundedness of certain oscillatory integrals on weighted Lp spaces and some results on weighted weak Hp for 0 < p < 1
description In this thesis, we provide a necessary and sufficient condition for Lp boundedness of a class of oscillatory integrals with Calderon-Zygmund (C-Z) Kernel and establish weighted norm inequalities for them. We also prove some weighted norm inequalities for a class of oscillatory integrals with rough kernel. Finally, we discuss the question of the sharpness of certain weighted weak type inequalities for standard C-Z operators.
author2 I. Klemes (advisor)
author_facet I. Klemes (advisor)
Zhang, Yan, 1963-
author Zhang, Yan, 1963-
author_sort Zhang, Yan, 1963-
title Boundedness of certain oscillatory integrals on weighted Lp spaces and some results on weighted weak Hp for 0 < p < 1
title_short Boundedness of certain oscillatory integrals on weighted Lp spaces and some results on weighted weak Hp for 0 < p < 1
title_full Boundedness of certain oscillatory integrals on weighted Lp spaces and some results on weighted weak Hp for 0 < p < 1
title_fullStr Boundedness of certain oscillatory integrals on weighted Lp spaces and some results on weighted weak Hp for 0 < p < 1
title_full_unstemmed Boundedness of certain oscillatory integrals on weighted Lp spaces and some results on weighted weak Hp for 0 < p < 1
title_sort boundedness of certain oscillatory integrals on weighted lp spaces and some results on weighted weak hp for 0 < p < 1
publisher McGill University
publishDate 1997
url http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=35658
work_keys_str_mv AT zhangyan1963 boundednessofcertainoscillatoryintegralsonweightedlpspacesandsomeresultsonweightedweakhpfor0p1
_version_ 1716645540691705856

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