Results 21 to 30 of about 194,812 (251)
Commutators of multilinear strongly singular integrals on non-homogeneous metric measure spaces [PDF]
Open Mathematics, 2021 Abstract Let ( X , d ,
Hailian Wang, Rulong Xie
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Generalized Fractional Integrals and Their Commutators over Non-homogeneous Metric Measure Spaces [PDF]
, 2013 Let $({\mathcal X},d,\mu)$ be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions. In this paper, the authors establish some equivalent characterizations for the boundedness of fractional integrals over $({\
Xing Fu, Dachun Yang, Wen Yuan
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COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS ON NON-HOMOGENEOUS METRIC MEASURE SPACES [PDF]
Taiwanese Journal of Mathematics, 2015 Let $(X,d, )$ be a metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions, which is called non-homogeneous metric measure space. In this paper, via a sharp maximal operator, the boundedness of commutators generated by multilinear singular integral with $RBMO( )$ function on non-homogeneous metric ...
Rulong Xie, Huajun Gong, Xiaoyao Zhou
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Vector-valued non-homogeneous $Tb$ theorem on metric measure spaces
Revista Matemática Iberoamericana, 2012 We prove a vector-valued non-homogeneous Tb theorem on certain quasimetric spaces equipped with what we call an upper doubling measure. Essentially, we merge recent techniques from the domain and range side of things, achieving a Tb ...
Henri Martikainen
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Journal of Mathematical Analysis and Applications, 2011 AbstractLet (X,d,μ) be a metric measure space satisfying the upper doubling and the geometrically doubling conditions in the sense of T. Hytönen. In this paper, the authors prove that the boundedness of a Calderón–Zygmund operator T on L2(μ) is equivalent to either of the boundedness of T from the atomic Hardy space H1(μ) to L1,∞(μ) or from H1(μ) to L1(
Suile Liu, Dachun Yang, Dongyong Yang
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Boundedness of Calderón-Zygmund Operators on Non-homogeneous Metric Measure Spaces [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2010 Let $\left( \text{ }\!\!\chi\!\!\text{ ,}\,d,\,\mu \right)$ be a separable metric measure space satisfying the known upper doubling condition, the geometrical doubling condition, and the non-atomic condition that $\mu \left( \left\{ x \right\} \right)\,=\
Tuomas Hytönen +3 more
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Commutators of multilinear singular integral operators on non-homogeneous metric measure spaces [PDF]
, 2013 Let $(X,d,\mu)$ be a metric measure space satisfying both thegeometrically doubling and the upper doubling measure conditions,which is called non-homogeneous metric measure space.
Rulong Xie, Huajun Gong, Xiaoyao Zhou
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Spaces of Type BLO on Non-homogeneous Metric Measure Spaces
, 2010 Let $({\mathcal X}, d, )$ be a metric measure space and satisfy the so-called upper doubling condition and the geometrically doubling condition. In this paper, the authors introduce the space ${\mathop\mathrm{RBLO}}( )$ and prove that it is a subset of the known space ${\mathop\mathrm{RBMO}}( )$ in this context.
Haibo Lin, Dachun Yang
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Non-homogeneous Tb Theorem and Random Dyadic Cubes on Metric Measure Spaces [PDF]
Journal of Geometric Analysis, 2011 We prove a Tb theorem on quasimetric spaces equipped with what we call an upper doubling measure. This is a property that encompasses both the doubling measures and those satisfying the upper power bound (B(x,r)) \le Cr^d. Our spaces are only assumed to satisfy the geometric doubling property: every ball of radius r can be covered by at most N balls ...
Tuomas Hytönen, Henri Martikainen
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Boundedness of fractional integral operators on non-homogeneous metric measure spaces
, 2013 26 ...
Rulong Xie, Shu Li-sheng
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