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Intrinsic square functions on functions spaces including weighted Morrey spaces

Justin Feuto
대한수학회 (The Korean Mathematical Society)|2013.11|대한수학회보 (Bulletin of the KMS)|제50권 제6호|pp. 1923-1936

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참고문헌

키워드

commutatorMorrey spacesamalgams spacesg-function of Littlewood-PaleyLusin area function
주제분류수학

초록

We prove that the intrinsic square functions including Lusin area integral and Littlewood-Paley g∗ λ-function as defined by Wilson, are bounded in a class of function spaces include weighted Morrey spaces. The corresponding commutators generated by BMO functions are also considered.

Abstract

We prove that the intrinsic square functions including Lusin area integral and Littlewood-Paley g∗ λ-function as defined by Wilson, are bounded in a class of function spaces include weighted Morrey spaces. The corresponding commutators generated by BMO functions are also considered.

참고문헌 (18)

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  11. F. Holland, "Harmonic Analysis on amalgams of Lp and ℓq", J. London Math. Soc, 10, pp.295~305 (1975)
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  13. C. B. Morrey, "On the solutions of quasi-linear elliptic partial differential equations", Trans. Amer. Math. Soc, 43(1), pp.126~166 (1938)
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  15. Y. Komori, "Weighted Morrey spaces and a singular integral operator", Math. Nachr, 282(2), pp.219~231 (2009)[DOI]
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  17. M.Wilson, "The intrinsic square function", Rev. Mat. Iberoam, 23(3), pp.771~791 (2007)
  18. M. Wilson, "Weighted Littlewood-Paley Theory and Exponential-Square Integrability, In Lecture Notes in Math, Vol 1924" (2007), Springer-Verlag

관련 논문AI추천

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