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Spaces Lpwith a mixed norm on locally compact groups

✍ Scribed by A. G. Myasnikov; S. I. Chernykh

Book ID: 105060936
Publisher: Springer US
Year: 1986
Tongue: English
Weight: 247 KB
Volume: 19
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01076629

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📜 SIMILAR VOLUMES

Norm continuous representations of local

Norm continuous representations of locally compact groups

✍ A. I. Shtern 📂 Article 📅 2008 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 280 KB

Weighted Triebel-Lizorkin Spaces on Loca

Weighted Triebel-Lizorkin Spaces on Locally Compact Vilenkin Groups

✍ Toshiyuki Kitada; C. W. Onneweer 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 638 KB

## Abstract Let __G__ be a locally compact Vilenkin group. We consider the atomic and molecular decomposition of the weighted Triebel‐Lizorkin spaces on __G.__ As an application of it we prove boundedness results for certain pseudodifferential operators on such spaces.

Compact Operators on Homogeneous Banach

Compact Operators on Homogeneous Banach Spaces of Distributions on Locally Compact Abelian Groups

✍ S. S. Pandey 📂 Article 📅 2003 🏛 Springer ⚖ 119 KB

Multipliers on weighted function spaces

Multipliers on weighted function spaces over locally compact Vilenkin groups

✍ Zhu Yueping 📂 Article 📅 2002 🏛 Springer 🌐 English ⚖ 222 KB

Multipliers on weighted Hardy spaces ove

Multipliers on weighted Hardy spaces over locally compact Vilenkin groups

✍ Yueping Zhu; Weixing Zheng 📂 Article 📅 1999 🏛 Springer 🌐 English ⚖ 415 KB

Convolution operators on Lorentz spaces

Convolution operators on Lorentz spaces over locally compact Vilenkin groups

✍ T. S. Quek 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 182 KB 👁 1 views

## Abstract Let __G__ be a locally compact Vilenkin group. Using Herz spaces, we give sufficient conditions for a distribution on __G__ to be a convolution operator on certain Lorentz spaces. Our results generalize Hörmander's multiplier theorem on __G__. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, W