Some Estimates for Convolution Operators with Kernels of Type (l, r) on Homogeneous Groups

Some Estimates for Convolution Operators with Kernels of Type (l, r) on Homogeneous Groups

Some estimates for the convolution operators with kernels of type (l, r) on Lebesgue spaces with power weights and Herz-type spaces in the setting of homogeneous groups are established.[PUBLICATION ABSTRACT]

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Veröffentlicht in:Acta mathematica Sinica. English series 2005-06, Vol.21 (3), p.577-584
Hauptverfasser: Jiang, Yin Sheng, Liu, Ming Ju, Tang, Lin
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic group theory
Convolution
Estimates
Integrals
Kernels
Lie groups
Mathematics
Operators
Studies
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Zusammenfassung:Some estimates for the convolution operators with kernels of type (l, r) on Lebesgue spaces with power weights and Herz-type spaces in the setting of homogeneous groups are established.[PUBLICATION ABSTRACT]
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-004-0507-z