Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups
نویسندگان
چکیده
In this paper, we study the two weight commutators theorem of Riesz potential on an arbitrary homogeneous group H dimension N. Moreover, in accordance with results Euclidean space, acquire quantitative weighted bound group.
منابع مشابه
Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels
In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by [Formula: see text] functions and multilinear singular integral operators with generalized kernels. As applications, the boundedness of this kind of multilinear iterated commutators on the product of weighted Lebesgue spaces and the product of variable exponent Lebesgue spaces ...
متن کاملRiesz potential and its commutators on Orlicz spaces
In the present paper, we shall give necessary and sufficient conditions for the strong and weak boundedness of the Riesz potential operator [Formula: see text] on Orlicz spaces. Cianchi (J. Lond. Math. Soc. 60(1):247-286, 2011) found necessary and sufficient conditions on general Young functions Φ and Ψ ensuring that this operator is of weak or strong type from [Formula: see text] into [Formula...
متن کاملUniversity of Cambridge the Method of Iterated Commutators for Ordinary Diierential Equations on Lie Groups the Method of Iterated Commutators for Ordinary Diierential Equations on Lie Groups
We construct numerical methods to integrate ordinary diierential equations that evolve on Lie groups. These schemes are based on exponentials and iterated com-mutators, they are explicit and their order analysis is relatively simple. Thus we can construct group-invariant integrators of arbitrarily high order. Among other applications we show that this approach can be used to obtain new symplect...
متن کاملMultiparameter Riesz Commutators
It is shown that product BMO of S.-Y.A.Chang and R. Fefferman, defined on the space R1 ⊗ · · ·⊗Rdt , can be characterized by the multiparameter commutators of Riesz transforms. This extends a classical one-parameter result of R. Coifman, R. Rochberg, and G. Weiss [8], and at the same time extends the work of M. Lacey and S. Ferguson [12] and M. Lacey and E. Terwilleger [19], on multiparameter c...
متن کاملWeighted Estimates for Bilinear Fractional Integral Operators and Their Commutators
In this paper we will prove several weighted estimates for bilinear fractional integral operators and their commutators with BMO functions. We also prove maximal function control theorem for these operators, that is, we prove the weighted Lp norm is bounded by the weighted Lp norm of a natural maximal operator when the weight belongs to A∞. As a corollary we are able to obtain new weighted esti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9192421