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Littlewood-Paley and Multiplier Theory [1977]
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Prologue
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Introduction
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Convolution Operators (Scalar-Valued Case)
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Convolution Operators (Vector-Valued Case)
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The Littlewood-Paley Theorem for Certain Disconnected Groups
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Martingales and the Littlewood-Paley Theorem
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The Theorems of M. Riesz and Stečkin for ℝ, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="978-3-642-66366-6_7_Chapter_TeX2GIF_IEq1.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /> </InlineMediaObject> <EquationSource Format="TEX">$$\mathbb{T}$$</EquationSource> </InlineEquation> and ℤ
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The Littlewood-Paley Theorem for ℝ, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="978-3-642-66366-6_8_Chapter_TeX2GIF_IEq1.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /> </InlineMediaObject> <EquationSource Format="TEX">$$\mathbb{T}$$</EquationSource> </InlineEquation> and ℤ: Dyadic Intervals
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Strong Forms of the Marcinkiewicz Multiplier Theorem and Littlewood-Paley Theorem for ℝ, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="978-3-642-66366-6_9_Chapter_TeX2GIF_IEq1.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /> </InlineMediaObject> <EquationSource Format="TEX">$$\mathbb{T}$$</EquationSource> </InlineEquation> and ℤ
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Applications of the Littlewood-Paley Theorem
