A note on exponential integrability and pointwise estimates of Littlewood-Paley functions
Mark Leckband
- Vol. 109, Iss: 1, pp 185-194
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In this paper, the authors derived a BLO norm estimate for (Tf)2 and a pointwise estimate for Tf, where Tf denotes any one of the usual classical or generalized Littlewood-Paley functions.Abstract:
Let Tf denote any one of the usual classical or generalized Littlewood-Paley functions. This paper derives a BLO norm estimate for (Tf)2 and a pointwise estimate for Tf .read more
Citations
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$h^1$, bmo, blo and Littlewood-Paley $g$-functions with non-doubling measures
TL;DR: In this article, the authors introduced a local atomic Hardy space, a local BMO-type space and a local BLO-like space and established some useful characterizations for these spaces.
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Estimates for marcinkiewicz integrals in bmo and campanato spaces
Guoen Hu,Yan Meng,Dachun Yang +2 more
TL;DR: In this article, the authors consider the behavior on BMO and Campanato spaces for the higher-dimensional Marcinkiewicz integral operator which is defined by where Ω is homogeneous of degree zero, has mean value zero and is integrable on the unit sphere.
Journal ArticleDOI
Estimates for Littlewood–Paley operators in BMO(Rn)☆
Yan Meng,Dachun Yang +1 more
TL;DR: In this article, it was shown that if f ∈ BMO ( R n ) (the space of functions with bounded mean oscillation), then g ( f ) is either infinite everywhere or finite almost everywhere.
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Endpoint estimates for homogeneous Littlewood-Paley g-functions with non-doubling measures
Dachun Yang,Dongyong Yang +1 more
TL;DR: In this article, the authors proved that the homogeneous Littlewood-Paley g-function of Tolsa is bounded from the Hardy space H1 (µ) to L1(µ).
Journal ArticleDOI
On pointwise estimates for the Littlewood-Paley operators
TL;DR: In this paper, it was shown that inequalities essentially of the same type hold for the Littlewood-Paley operators for maximal and singular integral operators, as well as the singular integral operator.
References
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Some weighted norm inequalities concerning the Schrödinger operators.
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