Results 41 to 50 of about 2,945 (178)
Mathematics, 2022 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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Problems on averages and lacunary maximal functions [PDF]
, 2011 We prove three results concerning convolution operators and lacunary maximal functions associated to dilates of measures. First, we obtain an $H^1$ to $L^{1,\infty}$ bound for lacunary maximal operators under a dimensional assumption on the underlying ...
Seeger, Andreas, Wright, James
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On rough generalized parametric Marcinkiewicz integrals [PDF]
Journal of Mathematical Inequalities, 2017 Summary: We obtain certain sharp \(L^p\) bounds for the generalized parametric Marcinkiewicz integrals \(\mathcal{M}_{\Omega,h,\rho}^{(\lambda)}\). The singular kernels are allowed to be rough on the unit sphere as well as in the radial direction. By the virtue of these estimates along with an extrapolation argument we obtain some new and improved ...
Al-Qassem, H., Cheng, L., Pan, Y.
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Littlewood-Paley equivalence and homogeneous Fourier multipliers [PDF]
, 2016 We consider certain Littlewood-Paley operators and prove characterization of some function spaces in terms of those operators. When treating weighted Lebesgue spaces, a generalization to weighted spaces will be made for H\"ormander's theorem on the ...
Sato, Shuichi
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The Boundedness of Marcinkiewicz Integrals Associated with Schrödinger Operator on Morrey Spaces
Journal of Function Spaces, 2014 Let L=-Δ+V be a Schrödinger operator, where V belongs to some reverse Hölder class. The authors establish the boundedness of Marcinkiewicz integrals associated with Schrödinger operators and their commutators on Morrey spaces.
Dongxiang Chen, Fangting Jin
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Journal of Function Spaces, 2018 A systematic treatment is given of singular integrals and Marcinkiewicz integrals associated with surfaces generated by polynomial compound mappings as well as related maximal functions with rough kernels in WFβ(Sn-1), which relates to the Grafakos ...
Feng Liu
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Weighted complete continuity for the commutator of Marcinkiewicz integral
, 2018 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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, 2013 It is proved a $BMO$-estimation for quadratic partial sums of two-dimensional Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier ...
Goginava, U. +2 more
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Marcinkiewicz integral operators along twisted surfaces
Communications on Pure and Applied Analysis, 2022 In this paper, the author defined a class of Marcinkiewicz integral operators \(\mathcal{M}_{\Gamma_{P,Q},\Omega,h}\) on product domains by translates determined by twisted surfaces. More precisely, \(\mathcal{M}_{\Gamma_{P,Q},\Omega,h}\) is defined by \[\mathcal{M}_{\Gamma_{P,Q},\Omega,h}f(x,y)=\bigg(\iint_{\mathbb{R}\times\mathbb{R}}|F_{t,s,\Gamma_ ...
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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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