Results 1 - 10
of
19
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
- MATH
, 2010
"... A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller that the m-fold product of the Hardy-Littlewood maximal function is studied. The operator is used to obtain a precise control on mul-tilinear singular integral operators of Calderón-Zygmund type and to ..."
Abstract
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Cited by 53 (5 self)
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A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller that the m-fold product of the Hardy-Littlewood maximal function is studied. The operator is used to obtain a precise control on mul-tilinear singular integral operators of Calderón-Zygmund type and to build a theory of weights adapted to the multilinear setting. A natural variant of the operator which is useful to control certain commutators of multilinear Calderón-Zygmund operators with BMO functions is then considered. The optimal range of strong type estimates, a sharp end-point estimate, and weighted norm inequalities involving both the clas-sical Muckenhoupt weights and the new multilinear ones are also obtained for the commutators.
Maximal operator and weighted norm inequalities for multilinear singular integrals
- Indiana Univ. Math. J
"... Abstract. The maximal operator associated with multilinear Calderón-Zygmund singular integrals is introduced and shown to be bounded on product of Lebesgue spaces. Moreover weighted norm inequalities are obtained for this maximal operator as well as for the corresponding singular integrals. 1. ..."
Abstract
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Cited by 31 (12 self)
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Abstract. The maximal operator associated with multilinear Calderón-Zygmund singular integrals is introduced and shown to be bounded on product of Lebesgue spaces. Moreover weighted norm inequalities are obtained for this maximal operator as well as for the corresponding singular integrals. 1.
End-points estimates for iterated commutators of multilinear singular integrals
- Bull. London Math. Soc
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Weighted inequalities and pointwise estimates for the multilinear fractional integral and maximal operators
, 2009
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Commutators of multilinear singular integrals with Lipschitz functions on products of variable exponent
- Lebesgue spaces,” Advances in Mathematics,
, 2009
"... Suppose ⃗ = ( 1 , . . . , ) ∈ (BMO) , Π is the iterated commutator of ⃗ and the -linear Calderón-Zygmund operator . The purpose of this paper is to discuss the boundedness properties of Π on weighted Herz spaces with general Muckenhoupt weights. ..."
Abstract
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Cited by 2 (1 self)
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Suppose ⃗ = ( 1 , . . . , ) ∈ (BMO) , Π is the iterated commutator of ⃗ and the -linear Calderón-Zygmund operator . The purpose of this paper is to discuss the boundedness properties of Π on weighted Herz spaces with general Muckenhoupt weights.
Lp estimates for multi-linear and multi-parameter pseudo-differential operators
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Multilinear singular and fractional integral operators on weighted Morrey spaces,”
- Journal of Function Spaces and Applications, Article ID
, 2013
"... We will study the boundedness properties of multilinear Calderón-Zygmund operators and multilinear fractional integrals on products of weighted Morrey spaces with multiple weights. ..."
Abstract
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Cited by 1 (0 self)
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We will study the boundedness properties of multilinear Calderón-Zygmund operators and multilinear fractional integrals on products of weighted Morrey spaces with multiple weights.
