Fourier transforms on Lipschitz-Besov spaces リプシッツ・ベゾフ空間の上のフーリエ変換の研究
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著者
書誌事項
- タイトル
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Fourier transforms on Lipschitz-Besov spaces
- タイトル別名
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リプシッツ・ベゾフ空間の上のフーリエ変換の研究
- 著者名
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水原, 昂広, 1944-
- 著者別名
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ミズハラ, タカヒロ
- 学位授与大学
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東北大学
- 取得学位
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理学博士
- 学位授与番号
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乙第5806号
- 学位授与年月日
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1992-04-28
注記・抄録
博士論文
目次
- Table of Contents. / (0003.jp2)
- Introduction. / p1 (0005.jp2)
- List of Symbols. / p8 (0012.jp2)
- Chapter I.Lipschitz-Besov spaces and Fourier analysis. / p9 (0013.jp2)
- §1.Lipschitz-Besov spaces and Hausdorff-Young inequality. / p9 (0013.jp2)
- (1.0.)Introduction. / p9 (0013.jp2)
- (1.1.)Function spaces defined on a product measure space. / p21 (0025.jp2)
- (1.2.)Isotropic homogeneous(non-homogeneous)Beurling-Herz spaces andanisotropic versions. / p24 (0028.jp2)
- (1.3.)Hausdorff-Young type inequalities on isotropic non-homogeneousLipschitz spaces. / p33 (0037.jp2)
- (1.4.)Fourier transforms on anisotropic non-homogeneous Lipschitz spaces. / p39 (0043.jp2)
- §2.Some maximal functions. / p43 (0047.jp2)
- (2.0.)Introduction. / p43 (0047.jp2)
- (2.1.)Boundedness of Hardy-Littlewood maximal operator. / p47 (0051.jp2)
- (2.2.)Boundedness of singular integral operators of Calderon-Zygmund type. / p50 (0054.jp2)
- (2.3.)Remarks on Morrey spaces. / p52 (0056.jp2)
- Chapter II.Fourier multipliers for Lipschitz classes. / p56 (0060.jp2)
- §3.Some characterizations of Fourier multipliers for Lipschitz classes on the unit circle. / p56 (0060.jp2)
- (3.0.)Introduction. / p56 (0060.jp2)
- (3.1.)Several lemmas of Hardy and Littlewood,and Zygmund. / p61 (0065.jp2)
- (3.2.)Multiplers of type([数式]),where0<α<1and1<p<∞. / p63 (0067.jp2)
- (3.3.)Multiplers of type([数式]),where0<α<1and1<p<∞. / p67 (0071.jp2)
- (3.4.)A remark on multiplers of type([数式]),where0<α<β<1. / p70 (0074.jp2)
- References. / p74 (0078.jp2)
- On Λ(α:p,q)Multiplier Theorems / p491 (0084.jp2)
- On Besov Multipliers / p47 (0090.jp2)
- On a Theorem of Fourier Multipliers and its Applications / p217 (0095.jp2)
- FOURIER TRANSFORMS ON LIPSCHITZ SPACES AND LITTLEWOOD-PALEY SPACES / (0098.jp2)
- On Fourier Multipliers of Homogeneous Besov Spaces / (0101.jp2)