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Under certain rather weak size conditions assumed on the kernels, some weighted norm inequalities for singular integral operators, related maximal operators, maximal truncated singular integral operators and Marcinkiewicz integral operators in nonisotropic setting will be shown. These weighted norm inequalities will enable us to obtain some vector valued inequalities for the above operators.
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참고문헌 (27)
참고문헌 신청
Hussain Al-Qassem / 2009 / On certain estimates for Marcinkiewicz integrals and extrapolation / Collectanea mathematica 60(2):123~145
Ahmad Al-Salman / 2002 / Singular Integrals with Rough Kernels in L log L (S n −1 ) / Journal of the London Mathematical Society 66(1):153~174
H. Al-Qassem / 2002 / Lp bounds for the function of Marcinkiewicz / Mathematical Research Letters 9(5):697~700
J. Bergh / 1976 / Interpolation spaces. An introduction / Springer-Verlag
A.P Calderón / 1975 / Parabolic maximal functions associated with a distribution / Advances in Mathematics 16(1):1~64
Ahmad Al-Salman / 2002 / Singular Integrals with Rough Kernels in L log L (S n −1 ) / Journal of the London Mathematical Society 66(1):153~174
H. Al-Qassem / 2002 / Lp bounds for the function of Marcinkiewicz / Mathematical Research Letters 9(5):697~700
J. Bergh / 1976 / Interpolation spaces. An introduction / Springer-Verlag
A.P Calderón / 1975 / Parabolic maximal functions associated with a distribution / Advances in Mathematics 16(1):1~64
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