</em>L<sup>p</sup><em> Estimates for Some Singular Integral Operators on Homogeneous Groups

WANG Jie; CUI Hai-yan; YAN Shu-yun; GUO Rui; YIN Li-bo

WANG Jie, CUI Hai-yan, YAN Shu-yun, GUO Rui, YIN Li-bo. Lp Estimates for Some Singular Integral Operators on Homogeneous GroupsJ. Transactions of Beijing institute of Technology, 2008, (6): 560-564.

Citation:

WANG Jie, CUI Hai-yan, YAN Shu-yun, GUO Rui, YIN Li-bo. Lp Estimates for Some Singular Integral Operators on Homogeneous GroupsJ. Transactions of Beijing institute of Technology, 2008, (6): 560-564.

Citation:

WANG Jie, CUI Hai-yan, YAN Shu-yun, GUO Rui, YIN Li-bo. Lp Estimates for Some Singular Integral Operators on Homogeneous GroupsJ. Transactions of Beijing institute of Technology, 2008, (6): 560-564.

L^p Estimates for Some Singular Integral Operators on Homogeneous Groups

WANG Jie,

CUI Hai-yan,

YAN Shu-yun,

GUO Rui,

YIN Li-bo

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Abstract

By studying some important features about m(x,v) on homogeneous group G, the definition for some singular integral operators with B_qweight is given. The proof of L^pboundedness for this operator is then obtained, expanding the results on Rⁿ.

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Lp Estimates for Some Singular Integral Operators on Homogeneous Groups

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L^p Estimates for Some Singular Integral Operators on Homogeneous Groups