Results 61 to 70 of about 1,893 (145)
Boundedness of vector-valued B-singular integral operators in Lebesgue spaces
Open Mathematics, 2017 We study the vector-valued B-singular integral operators associated with the Laplace-Bessel differential operator △B=∑k=1n−1∂2∂xk2+(∂2∂xn2+2vxn∂∂xn),v>0. $$\triangle_{B}=\sum\limits_{k=1}^{n-1}\frac{\partial^{2}}{\partial x_{k}^{2}}+(\frac{\partial^{2}}{\
Keles Seyda, Omarova Mehriban N.
doaj +1 more source
Singular Oscillatory Integrals on R^n
, 2009 Let Pd,n denote the space of all real polynomials of degree at most d on R^n. We prove a new estimate for the logarithmic measure of the sublevel set of a polynomial P in Pd,1.
A. Carbery +3 more
core +1 more source
Rough fractional integral operators and beyond Adams inequalities
Mathematical Inequalities & Applications, 2019 We consider the boundedness of fractional integral operators with rough kernel from Morrey spaces Lp,λ to Lq,μ . Our main concern is proving the boundedness property for μ < λ as an extension of Adams inequality on some special subsets of the operator’s ...
Daniel Salim, Y. Soeharyadi, W. S. Budhi
semanticscholar +1 more source
Weighted estimates of multilinear fractional integral operators for radial functions
, 2020 Moen (2009) proved weighted estimates for multilinear fractional integral operators. We consider weighted estimates of these operators for radial functions and power weights and obtain a better result. Our result is a multilinear variant of the one by De
Y. Komori‐Furuya, Enji Sato
semanticscholar +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
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
Rough Maximal Oscillatory Singular Integral Operators [PDF]
, 2005 2000 Mathematics Subject Classification: Primary 42B20; Secondary 42B15, 42B25In this paper, we establish the L^p boundedness of certain maximal oscillatory singular integral operators with rough kernels belonging to certain block spaces.
Al-Salman, Ahmad
core
Multiple singular integrals and maximal operators with mixed homogeneity along compound surfaces
, 2016 In this paper we present the Lp mapping properties for a class of multiple singular integral operators along polynomial compound surfaces provided that the integral kernels are given by the radial function h ∈ Δγ (or h ∈ Uγ ) for some γ > 1 and the ...
Feng Liu, D. Zhang
semanticscholar +1 more source
Weighted inequalities for the multilinear Hilbert and Calderón operators and applications
, 2020 We characterize the weighted weak and strong type inequalities for the Hilbert and Calderón multilinear operators. As applications, we characterize a weighted multilinear Hilbert’s inequality and extend to the multilinear setting some results on singular
V. G. García, P. O. Salvador
semanticscholar +1 more source
Rough Marcinkiewicz integral operators
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 495-503, 2001., 2001 We study the Marcinkiewicz integral operator M𝒫f(x)=(∫−∞∞|∫|y|≤2tf(x−𝒫(y))(Ω(y)/|y|n−1)dy|2dt/22t)12/, where 𝒫 is a polynomial mapping from ℝn into ℝd and Ω is a homogeneous function of degree zero on ℝn with mean value zero over the unit sphere Sn−1. We prove an Lp boundedness result of M𝒫 for rough Ω.
Hussain Al-Qassem, Ahmad Al-Salman
wiley +1 more source