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This note is devoted to establishing the boundedness for some classes of Littlewood-Paley square operators defined by the kernels without any regularity on the mixed radial-angular spaces. The corresponding vector-valued versions are also presented. As applications, the corresponding results for the Littlewood-Paley $g_{\lambda}^{*}$ function and the Littlewood-Paley function related to the area integrals are also obtained.
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참고문헌 (25)
참고문헌 신청
H. Al-Qassem / 2018 / On generalized Littlewood–Paley functions / Collectanea Mathematica 69(2):297~314
A. Benedek / 1962 / CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS / Proceedings of the National Academy of Sciences 48(3):356~365
J. Bergh / 1976 / Interpolation spaces. An introduction / Springer-Verlag
Federico Cacciafesta / 2013 / Endpoint estimates and global existence for the nonlinear Dirac equation with potential / Journal of Differential Equations 254(5):2233~2260
Federico Cacciafesta / 2016 / Singular integrals with angular integrability / Proceedings of the American Mathematical Society 144(8):3413~3418
A. Benedek / 1962 / CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS / Proceedings of the National Academy of Sciences 48(3):356~365
J. Bergh / 1976 / Interpolation spaces. An introduction / Springer-Verlag
Federico Cacciafesta / 2013 / Endpoint estimates and global existence for the nonlinear Dirac equation with potential / Journal of Differential Equations 254(5):2233~2260
Federico Cacciafesta / 2016 / Singular integrals with angular integrability / Proceedings of the American Mathematical Society 144(8):3413~3418
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