Results 11 to 20 of about 97,274 (28)
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
wiley +1 more source
Two‐weight norm inequalities for the rough fractional integrals
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 8, Page 517-524, 2001., 2001 The authors give the weighted (Lp, Lq)‐boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.
Yong Ding, Chin-Cheng Lin
wiley +1 more source
A commutator theorem for fractional integrals in spaces of homogeneous type
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 6, Page 403-418, 2000., 2000 We give a new proof of a commutator theorem for fractional integrals in spaces of homogeneous type.
Jorge J. Betancor
wiley +1 more source
End point estimates for Radon transform of radial functions on Non-Euclidean spaces [PDF]
arXiv, 2012 We prove end point estimate for Radon transform of radial functions on affine Grasamannian and real hyperbolic space. We also discuss analogs of these results on the sphere.
arxiv
Pointwise estimates to the modified Riesz potential [PDF]
arXiv, 2014 We prove pointwise estimates to the modified Riesz potential. We show the boundedness of its Luxemburg norm. As an application we obtain Orlicz embedding results. We study the sharpness of the results.
arxiv
$L^p$ estimates for a singular entangled quadrilinear form [PDF]
arXiv, 2015 We prove $L^p$ estimates for a continuous version of a dyadic quadrilinear form introduced by Kova\v{c} in [6]. This improves the range of exponents from the prequel [3] of the present paper.
arxiv
On Singular Points and Oscillatory Integrals [PDF]
arXiv, 2019 In this note, we generalize the Fresnel integrals using oscillatory integral, and then we obtain an extention of the stationary phase method.
arxiv
Commutants mod Normed Ideals [PDF]
arXiv, 2018 We survey the operator algebras arising as commutants modulo normed ideals of finite sets of hermitian operators and connections to perturbations of operators and noncommutative geometry.
arxiv
On Lusin's area integrals and g-functions in certain Dunkl and Laguerre settings [PDF]
Math. Nachr. 285 (2012), 1517-1542, 2010 We investigate $g$-functions and Lusin's area type integrals related to certain multi-dimensional Dunkl and Laguerre settings. We prove that the considered square functions are bounded on weighted $L^p$, $1
arxiv
Quadratic $A_1$ bounds for commutators of singular integrals with BMO functions [PDF]
arXiv, 2011 For commutators of the form [b,T] where T is any Calderon--Zygmund operator and b is any BMO function we derive weighted quadratic type estimates in term of the A1 constant of the weight both in the Lp context or of LlogL type at the ...
arxiv