Results 91 to 100 of about 4,962 (192)
Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces
Journal of Mathematics, 2015 Let X,d,μ be a metric measures space satisfying the upper doubling conditions and the geometrically doubling conditions in the sense of Hytönen. Under the assumption that the dominating function satisfies the weak reverse doubling condition, the authors ...
Ji Cheng, Guanghui Lu
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Endpoint multiplier theorems of Marcinkiewicz type
, 2000 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]
Studia Mathematica, 2001 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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Almost Everywhere Strong Summability of two-dimensional Walsh-Fourier Series
, 2016 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
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Marcinkiewicz Functions along Flat Surfaces with Hardy Space Kernels [PDF]
Journal of Integral Equations and Applications, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A surprising formula for Sobolev norms. [PDF]
Proc Natl Acad Sci U S A, 2021 Brezis H, Van Schaftingen J, Yung PL.
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Marcinkiewicz integrals with variable kernels on Hardy and weak Hardy spaces
Journal of Function Spaces and Applications, 2010 In this article, we consider the Marcinkiewicz integrals with variable kernels defined by μΩ(f)(x)=(∫0∞|∫|x−y|≤tΩ(x,x−y)|x−y|n−1f(y)dy|2dtt3)1/2, where Ω(x,z)∈L∞(ℝn)×Lq(Sn−1) for q > 1.
Xiangxing Tao, Xiao Yu, Songyan Zhang
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Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces
Abstract and Applied Analysis, 2011 The authors study the boundedness for a large class of sublinear operator T generated by Calderón-Zygmund operator on generalized Morrey spaces Mp,φ.
Vagif S. Guliyev +2 more
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Fixed point properties for a degenerate Lorentz–Marcinkiewicz space
TURKISH JOURNAL OF MATHEMATICS, 2019 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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Boundedness of higher-order Marcinkiewicz-Type integrals
International Journal of Mathematics and Mathematical Sciences, 2006 Let A be a function with derivatives of order m and DγA∈Λ˙β ...
Shanzhen Lu, Huixia Mo
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