Fourier analysis in Marcinkiewicz spaces
نویسندگان
چکیده
منابع مشابه
Marcinkiewicz-Fejér means of double conjugate Walsh-Kaczmarz-Fourier series and Hardy spaces
In the present paper we prove that for any 0 < p ≤ 2/3 there exists a martingale f in Hp such that the Marcinkiewicz-Fejér means of double conjugate Walsh-Kaczmarz-Fourier series of the martingale f is not uniformly bounded in the space Lp .
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In this paper, we establish an Lp boundedness result of a class of Marcinkiewicz integral operators on product domains with rough kernels.
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We describe the real interpolation spaces between given Marcinkiewicz spaces that have fundamental functions of the form t ( ln et )α with the same exponent q. The spaces thus obtained are used for the proof of optimal interpolation theorem from [7], concerning spaces L∞,α,E .
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Nigel J. Kalton was one of the most eminent guests participating in the Józef Marcinkiewicz Centenary Conference. His contribution to the scientific aspect of the meeting was very essential. Nigel was going to prepare a paper based on his plenary lecture. The editors are completely sure that the paper would be a real ornament of the Proceedings. Unfortunately, Nigel’s sudden death totally destr...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1961
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-21-1-93-102