Results 51 to 60 of about 1,622 (105)
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 Mđ«f(x)=(â«âââ|â«|y|â€2tf(xâđ«(y))(Ω(y)/|y|nâ1)dy|2dt/22t)12/, where đ« is a polynomial mapping from ân into âd and Ω is a homogeneous function of degree zero on ân with mean value zero over the unit sphere Snâ1. We prove an Lp boundedness result of Mđ« for rough Ω.
Hussain Al-Qassem, Ahmad Al-Salman
wiley +1 more source
A note on commutators of strongly singular CalderĂłn-Zygmund operators
Open Mathematics, 2022 In this article, the authors consider the commutators of strongly singular CalderĂłn-Zygmund operator with Lipschitz functions. A sufficient condition is given for the boundedness of the commutators from Lebesgue spaces Lp(Rn){L}^{p}\left({{\mathbb{R ...
Zhang Pu, Zhu Xiaomeng
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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
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Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator [PDF]
, 2006 2000 Mathematics Subject Classification: 42B20, 42B25, 42B35We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel ...
Guliyev, Vagif, Hasanov, Javanshir
core
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
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
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Forum of Mathematics, Sigma, 2021 We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, KleinâGordon and fractional Schrödinger equations.
Neal Bez, Sanghyuk Lee, Shohei Nakamura
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LP â LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators [PDF]
, 2005 Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.We obtain the Lp â Lq - estimates for the fractional acoustic potentials in R^n, which are known to be negative powers of the Helmholtz operator, and some related operators. Some applications
Karapetyants, Alexey +2 more
core
Global boundedness of a class of multilinear Fourier integral operators
Forum of Mathematics, Sigma, 2021 We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador RodrĂguez-LĂłpez +2 more
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, 2012 Any Calderon-Zygmund operator T is pointwise dominated by a convergent sum of positive dyadic operators. We give an elementary self-contained proof of this fact, which is simpler than the probabilistic arguments used for all previous results in this ...
Hytönen, Tuomas P. +2 more
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