Results 71 to 80 of about 3,337 (162)
Construction of Frames on the Heisenberg Groups
Analysis and Geometry in Metric Spaces, 2020 In this paper, we present a construction of frames on the Heisenberg group without using the Fourier transform. Our methods are based on the Calderón-Zygmund operator theory and Coifman’s decomposition of the identity operator on the Heisenberg group ...
Chang Der-Chen +2 more
doaj +1 more source
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
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
On Maximal Function on the Laguerre Hypergroup [PDF]
, 2006 2000 Mathematics Subject Classification: 42B20, 42B25, 42B35Let K = [0, ∞)×R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group.
Assal, Miloud, Guliyev, Vagif
core
, 2009 Let L=-\Delta+V be a Schr\"odinger operator on R^d, d\geq 3. We assume that V is a nonnegative, compactly supported potential that belongs to L^p(R^d), for some p>d/2. Let K_t be the semigroup generated by -L.
A. Sikora +10 more
core +1 more source
Weighted estimates for rough singular integrals with applications to angular integrability, II
, 2020 This paper is devoted to studying certain singular integral operators with rough radial kernel h and sphere kernel Ω as well as the corresponding maximal operators along polynomial curves.
Feng Liu, Ronghui Liu, Huo-xiong Wu
semanticscholar +1 more source
Fractional integral operators on central Morrey spaces
, 2017 We consider the boudedness of fractional integral operators on localized (central) Morrey spaces and investigate the relation between the Adams inequality and the Spanne inequality. Mathematics subject classification (2010): 42B20, 42B25.
Y. Komori‐Furuya, Enji Sato
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
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
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