Results 31 to 40 of about 4,962 (192)
Morrey Spaces for Nonhomogeneous Metric Measure Spaces
The authors give a definition of Morrey spaces for nonhomogeneous metric measure spaces and investigate the boundedness of some classical operators including maximal operator, fractional integral operator, and Marcinkiewicz integral operators.
Cao Yonghui, Zhou Jiang
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This paper is devoted to exploring the mapping properties for the commutator μΩ,b generated by Marcinkiewicz integral μΩ with a locally integrable function b in the generalized Campanato spaces on the generalized Morrey spaces.
Fuli Ku, Huoxiong Wu
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In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel.
Chen Dazhao, Huang Hui
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Marcinkiewicz–Zygmund Inequalities for Polynomials in Bergman and Hardy Spaces [PDF]
AbstractWe study the relationship between sampling sequences in infinite dimensional Hilbert spaces of analytic functions and Marcinkiewicz–Zygmund inequalities in subspaces of polynomials. We focus on the study of the Hardy space and the Bergman space in one variable because they provide two settings with a strikingly different behavior.
Gröchenig, Karlheinz +1 more
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Boundedness for multilinear Marcinkiewicz operators on certain Hardy spaces
The boundedness for the multilinear Marcinkiewicz operators on certain Hardy and Herz-Hardy spaces are obtained.
Liu Lanzhe
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Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group: an expanded version
Marcinkiewicz multipliers are L^{p} bounded for ...
Coifman +5 more
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Marcinkiewicz Interpolation Theorem and Marcinkiewicz Spaces
Jozef Marcinkiewicz (1910-1940) was one of the most eminent figures in Polish mathematics and together with Stanislaw Zaremba, Leon Lichtenstein, Juliusz Schauder and Antoni Zygmund, the most promi ...
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Nonlinear elliptic systems with variable exponents and measure data
In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents W01,p(
Bendahmane Mostafa, Mokhtari Fares
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Weighted complete continuity for the commutator of Marcinkiewicz integral
Let $\Omega$ be homogeneous of degree zero, have mean value zero and integrable on the unit sphere, and $\mathcal{M}_{\Omega}$ be the higher-dimensional Marcinkiewicz integral associated with $\Omega$.
Hu, Guoen
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Atomic decompositions of Lorentz martingale spaces and applications
In the paper we present three atomic decomposition theorems of Lorentz martingale spaces. With the help of atomic decomposition we obtain a sufficient condition for sublinear operator defined on Lorentz martingale spaces to be bounded.
Jiao Yong, Peng Lihua, Liu Peide
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