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Estimates of the Cordoba - Fernandez operator in Marcinkiewicz spaces
In the A. Cordoba and P. Fernandez research of the divergence of greedy algorithms in Lebesgue spaces some maximum operator P*(x) played the key role. This article reviews the assessment P*(x) in Marcinkiewicz spaces.
Y. I. Berezhnoi, D. S. Gladkikh
doaj
Endpoint multiplier theorems of Marcinkiewicz type
We establish sharp (H^1, L^{1,q}) and local (L \log^r L, L^{1,q}) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H^1 to L^{1,\infty} and L \log^{1/2} L to ...
Tao, Terence, Wright, Jim
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On some properties of generalized Marcinkiewicz spaces [PDF]
Let \((X_0,X_1)\) be a couple of interpolation of Banach spaces, and, for \(t>0\), and \(x\in X_0+X_1\): \[ K(t,x)= \inf\{\|x_0\|_{X_0}+t \|x_1\|_{X_1}, \;x=x_0+x_1\} . \] For any quasiconcave function \(\varphi: (0,\infty)\to (0,\infty)\), the generalized Marcinkiewicz space \(M_\varphi=M_\varphi(X_0,X_1)\) is the set of \(x\in X_0+X_1\) for which \[ \
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Marcinkiewicz Functions along Flat Surfaces with Hardy Space Kernels [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Almost Everywhere Strong Summability of two-dimensional Walsh-Fourier Series
It is proved a BMO-estimation for quadratic partial sums of two-dimensional Walsh-Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Walsh-Fourier series.Comment: arXiv admin note ...
Goginava, Ushangi
core
Commutators of Littlewood-Paley Operators on the Generalized Morrey Space
Let , , and denote the Marcinkiewicz integral, the parameterized area integral, and the parameterized Littlewood-Paley function, respectively. In this paper, the authors give a characterization of BMO space by the boundedness of the commutators of
Ding Yong, Wang Xinxia, Chen Yanping
doaj
Assessing the health literacy of caregivers in the pediatric intensive care unit: a mixed-methods study. [PDF]
Reddy AR +7 more
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On weighted inequalities for parametric Marcinkiewicz integrals
We establish a weighted boundedness of a parametric Marcinkiewicz integral operator if is allowed to be in the block space for some and satisfies a mild integrability condition.
Al-Qassem HM
doaj
Fixed point properties for a degenerate Lorentz–Marcinkiewicz space
Fixed point properties of a renorming of \((\ell^1, \|\cdot\|_1)\) and a predual of the renormed space are investigated. If \(x = (x_n) \in \ell^1\), \(|||x||| = \|x\|_1 + \|x\|_\infty\) defines a norm on \(\ell^1\) equivalent to the canonical norm.
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On Rough Parametric Marcinkiewicz Integrals Along Certain Surfaces
In this paper, we study rough Marcinkiewicz integrals associated with surfaces defined by ΨP,ϕ={(˜P(w),ϕ(w)):w∈Rm}. We establish the Lp-boundedness of these integrals when the kernel functions lie in the Lq(Sm−1) space.
Mohammed Ali, Hussain Al-Qassem
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