Tent spaces over general approach regions and pointwise estimates (Q1322094)
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scientific article; zbMATH DE number 562510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tent spaces over general approach regions and pointwise estimates |
scientific article; zbMATH DE number 562510 |
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Tent spaces over general approach regions and pointwise estimates (English)
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9 June 1994
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We study the tent spaces over general (possibly tangential) approach regions and their atomic decomposition. As a consequence, we obtain some pointwise estimates for a class of operators, using the duality properties of a certain type of Carleson measures. In particular, we can get the boundedness of a family of bilinear operators defined on the product of \(L^ q\) and some space of measures, into a Lipschitz space, we give yet another proof of the pointwise boundedness for the Fourier transform of distributions in \(H^ p\) and we improve and generalize the Fejér-Riesz inequality for harmonic extensions of \(H^ p\) functions.
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maximal functions
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tent spaces
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approach regions
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atomic decomposition
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Fourier transform
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distributions
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Fejér-Riesz inequality
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harmonic extension
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\(H^ p\) functions
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0.7861983776092529
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0.785453200340271
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0.7854350805282593
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0.7729696035385132
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