[PDF] Top 20 Rough Marcinkiewicz integral operators
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Rough Marcinkiewicz integral operators
... Hussain Al-Qassem: Department of Mathematics, Yarmouk University, Irbid, Jordan E-mail address: [email protected] Ahmad Al-Salman: Department of Mathematics, Yarmouk University, Irbid, [r] ... See full document
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Boundedness of rough singular integral operators and commutators on Morrey Herz spaces with variable exponents
... erators, such as Calderón-Zymund operators, the Carleson maximal operator and the Hardy-Littlewood maximal operator. Hernández, Li, Lu, and Yang [–] proved that if a sublinear operator T is bounded on L p (R n ... See full document
15
Estimates for Marcinkiewicz commutators with Lipschitz functions under nondoubling measures
... In recent years, harmonic analysis on spaces with nondoubling measures has become a very active research topic. There has been significant progress in the study of boundedness for singular integrals on these spaces; see ... See full document
16
NON-SMOOTH DECOMPOSITION AND THE MARCINKIEWICZ INTEGRAL
... Theorem 2.1], Liu and Yang proposed a criterion for the case of 0 < p ≤ 1 and q ≥ p. Here, we will remove the restiction 0 < p ≤ 1. Our results will be valid for 1 ≤ p < ∞ and 1 < q < ∞ as well as for some ... See full document
22
On weighted inequalities for parametric Marcinkiewicz integrals
... We apply this conclusion to obtain the weighted L p ∗,ρ boundedness for a class of the parametric Marcinkiewicz integral operators ᏹΩ,h,λ and ρ ᏹΩ,h,S related to the Littlewood-Paley gλ∗[r] ... See full document
17
Boundedness of Parametrized Littlewood Paley Operators with Nondoubling Measures
... nondoubling measures in 22, where the boundedness of such operator in Lebesgue spaces and Hardy spaces was established under the assumption that M ρ is bounded on L 2 μ. Throughout this paper, we always assume that the ... See full document
25
On Learning with Integral Operators
... symmetric and square integrable. Moreover, under some stronger conditions, rates of convergence and distributional limit theorems are obtained. The results are based on an inequality due to Lidskii and to Wielandt for ... See full document
30
Boundedness of Marcinkiewicz integrals with rough kernels on Musielak Orlicz Hardy spaces
... 4 Conclusions What we have seen from the above is the boundedness of Marcinkiewicz integral μ from H ϕ to Lϕ under weaker smoothness conditions assumed on , which generalizes the corresp[r] ... See full document
14
Some sharp inequalities for multilinear integral operators
... 9. Ding, Y, Lu, SZ: Weighted boundedness for a class rough multilinear operators. Acta Math. Sin. 17, 517-526 (2001) 10. Hu, G, Yang, DC: A variant sharp estimate for multilinear singular integral ... See full document
14
Commutators of Littlewood Paley Operators on the Generalized Morrey Space
... because Marcinkiewicz integral and the parameterized Littlewood-Paley operators are neither the convolution operator nor the linear operators, hence, we need new ideas and nontrivial estimates ... See full document
20
Estimates for fractional type Marcinkiewicz integrals with non doubling measures
... fies (.) and (.). Under these conditions, M in (.) is introduced by Si et al. in []. As a special case, by letting α = , we recapture the classical Marcinkiewicz integral opera- tors that Stein ... See full document
14
Lp Estimates for Marcinkiewicz integral operators and extrapolation
... The Marcinkiewicz integral operators play an important role in many fields in mathe- matics such as Poisson integrals, singular integrals and singular Radon ... See full document
10
Iterated commutators of multilinear fractional operators with rough kernels
... singular integral operator has recently received increasing ...linear operators but rather by their natural appearance in ...these operators has made significant advances, many results obtained ... See full document
11
Boundedness of rough fractional multilinear integral operators on generalized Morrey spaces
... the operators which are bounded on a Lebesgue space are also bounded in an appropriate Morrey space; see ...multilinear integral operator on Morrey ... See full document
12
A two weight estimate for a class of fractional integral operators with rough kernel
... The proof of Theorem 1.5 depends on the following weighted L p ,Lq boundedness and the weak boundedness of the rough fractional integral operator TΩ,α.. Some elementary conclusions We b[r] ... See full document
8
Boundedness of Marcinkiewicz Integrals along Surfaces with Variable Kernels: Another Sufficient Condition
... So, we have considered that it is natural to ask if the results in Theorem 1.1 still hold or not for the Marcinkiewicz integral with rough variable kernels along surfaces, and got in our[r] ... See full document
14
A note on Marcinkiewicz integrals supported by submanifolds
... several integral operators on the Triebel–Lizorkin spaces and Besov ...for Marcinkiewicz integrals, [14] for the Littlewood–Paley functions, [15–18] for maximal ...parametric Marcinkiewicz ... See full document
22
Fractional type Marcinkiewicz integral operators associated to surfaces
... type Marcinkiewicz integral operators associated to surfaces, and we extend a result given by Chen et ...type Marcinkiewicz integral operators are bounded from ... See full document
29
Marcinkiewicz integrals along subvarieties on product domains
... of Marcinkiewicz integral operators on product domains with kernels satisfying conditions similar to (5) in [6] (see also [1]) and supported by subvarieties determined by polynomial ... See full document
11
A note on certain integrals along polynomial compound curves
... singular integral operator and a parametric Marcinkiewicz integral operator with rough ...These operators have singularity along sets of the form curves { x = P( ϕ ( | y | ))y } , where ... See full document
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