Results 61 to 70 of about 1,960 (141)
Rough singular integrals on product spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 67, Page 3671-3684, 2004., 2004 We study the mapping properties of singular integral operators defined by mappings of finite type. We prove that such singular integral operators are bounded on the Lebesgue spaces under the condition that the singular kernels are allowed to be in certain block spaces.
Ahmad Al-Salman, Hussain Al-Qassem
wiley +1 more source
Open Mathematics, 2020 In this article, we consider the Laplace-Bessel differential operatorΔBk,n=∑i=1k∂2∂xi2+γixi∂∂xi+∑i=k+1n∂2∂xi2,γ1>0,…,γk>0.{\Delta }_{{B}_{k,n}}=\mathop{\sum }\limits_{i=1}^{k}\left(\frac{{\partial }^{2}}{\partial {x}_{i}^{2}}+\frac{{\gamma }_{i}}{{x}_{i}}
Hasanov Javanshir J. +2 more
doaj +1 more source
Marcinkiewicz integrals along subvarieties on product domains
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 4001-4011, 2004., 2004 We study the Lp mapping properties of a class of Marcinkiewicz integral operators on product domains with rough kernels supported by subvarieties.
Ahmad Al-Salman
wiley +1 more source
Stein-Weiss inequality for local mixed radial-angular Morrey spaces
Open Mathematics, 2022 In this article, a generalization of the well-known Stein-Weiss inequality for the fractional integral operator on functions with different integrability properties in the radial and the angular direction in local Morrey spaces is established.
Wei Mingquan, Su Fangming, Sun Lanyin
doaj +1 more source
, 2015 In this paper, we establish a weighted sharp maximal function estimate for the commutator associated with the singular integral operator satisfying a variant of Hörmander’s condition.
Xiao ha Zhou
semanticscholar +1 more source
ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2002 For a function $f\in L^p(\mathbb{R}d)$, $d\ge 2$, let $A_tf(x)$ be the mean of $f$ over the sphere of radius $t$ centred at $x$. Given a set $E\subset(0,\infty)$ of dilations we prove various endpoint bounds for the maximal operator $M_E$ defined by $M_E
A. Seeger, T. Tao, James Wright
semanticscholar +1 more source
Boundedness for multilinear Marcinkiewicz operators on certain Hardy spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 87-96, 2003., 2003 The boundedness for the multilinear Marcinkiewicz operators on certain Hardy and Herz‐Hardy spaces are obtained.
Liu Lanzhe
wiley +1 more source
Notes on pseudodifferential operators commutators and Lipschitz functions
Open Mathematics, 2023 This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the ...
Deng Yu-long
doaj +1 more source
Sharp smoothing properties of averages over curves
Forum of Mathematics, Pi, 2023 We prove sharp smoothing properties of the averaging operator defined by convolution with a measure on a smooth nondegenerate curve $\gamma $ in $\mathbb R^d$ , $d\ge 3$ .
Hyerim Ko, Sanghyuk Lee, Sewook Oh
doaj +1 more source
Cesaro-Hardy operators on bilateral grand Lebesgue spaces [PDF]
, 2013 We obtain in this short article the non-asymptotic estimations for the norm of (generalized) Cesaro-Hardy integral operators in the so-called Bilateral Grand Lebesgue Spaces.
Ostrovsky, E., Sirota, L.
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