Results 41 to 50 of about 3,337 (162)
Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth
Advances in Nonlinear Analysis, 2014 We establish local Calderón–Zygmund estimates for solutions to certain parabolic problems with irregular obstacles and nonstandard p(x,t)${p(x,t)}$-growth.
Erhardt André
doaj +1 more source
A boundedness result for Marcinkiewicz integral operator
Open Mathematics, 2020 We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
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Notes on the Herz-type Hardy spaces of variable smoothness and integrability
, 2016 The aim of this paper is twofold. First we give a new norm equivalents of the variable Herz spaces Kα(·) p(·),q(·) (R n) and K̇α(·) p(·),q(·) (R n) . Secondly we use these results to prove the atomic decomposition for Herz-type Hardy spaces of variable ...
D. Drihem, Fakhreddine Seghiri
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Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting
Journal of Mathematical Study, 2020 On the real line, the Dunkl operators Dν( f )(x) := d f (x) dx +(2ν+1) f (x)− f (−x) 2x , ∀x∈R, ∀ν≥− 1 2 are differential-difference operators associated with the reflection group Z2 on R, and on the Rd the Dunkl operators { Dk,j }d j=1 are the ...
Vagif S. Guliyev sci
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Journal of Function Spaces, Volume 7, Issue 3, Page 241-250, 2009., 2009 In this paper, we study the boundedness of commutator [b, T] of Riesz transform associated with Schrödinger operator and b is BMO type function, note that the kernel of T has no smoothness, and the boundedness from Hb1(Rn)→L1(Rn) is obtained.
Canqin Tang +2 more
wiley +1 more source
, 2018 We consider the generalized weighted Morrey spaces M p(·),φ ω (Ω) with variable exponent p(x) and a general function φ(x,r) defining the Morrey-type norm.
V. Guliyev +2 more
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Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents
Journal of Mathematical Study, 2020 We establish the boundedness of rough singular integral operators on homogeneous Herz spaces with variable exponents. As an application, we obtain the boundedness of related commutators with BMO functions on homogeneous Herz spaces with variable ...
Jin-Yi Cai
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Journal of Function Spaces, Volume 7, Issue 3, Page 301-311, 2009., 2009 Recently V. Kokilashvili, N. Samko, and S. Samko have proved a sufficient condition for the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights over Carleson curves. This condition is formulated in terms of Matuszewska‐Orlicz indices of weights. We prove a partial converse of their result.
Alexei Yu. Karlovich, Lech Maligranda
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Boundedness of several operators on weighted Herz spaces
Journal of Function Spaces, Volume 7, Issue 1, Page 1-12, 2009., 2009 We consider the boundedness of singular integral operators and fractional integral operators on weighted Herz spaces. For this purpose we introduce generalized Herz space. Our results are the best possible.
Yasuo Komori +2 more
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Lp bounds for parametric Marcinkiewicz integrals with mixed homogeneity
, 2015 In this paper we consider the parametric Marcinkiewicz integrals with mixed homogeneity along certain compound surfaces. Under the rather weakened size conditions on the integral kernels both on the unit sphere and in the radial direction, the Lp ...
Daqing Zhang, Huo-xiong Wu, Feng Liu
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