Weighted Lipschitz estiamtes for commutators of one-sided operators on one-sided Triebel-Lizorkin spaces

@article{Fu2012WeightedLE,
  title={Weighted Lipschitz estiamtes for commutators of one-sided operators on one-sided Triebel-Lizorkin spaces},
  author={Zun Wei Fu and Qingyan Wu and Guanglie Wang},
  journal={arXiv: Functional Analysis},
  year={2012}
}
Using the extrapolation of one-sided weights, we establish the boundedness of commutators generated by weighted Lipschitz functions and one-sided singular integral operators from weighted Lebesgue spaces to weighted one-sided Triebel-Lizorkin spaces. The corresponding results for commutators of one-sided discrete square functions are also obtained. 
View PDF on arXiv
1 Citations

One Citation

Lipschitz Estimates for One-Sided Cohen’s Commutators on Weighted One-Sided Triebel-Lizorkin Spaces
We introduce one-sided Cohen’s commutators of singular integral operators and fractional integral operators, respectively. Using the extrapolation of one-sided weights, we establish the boundedness…

References

SHOWING 1-10 OF 28 REFERENCES
One-sided Triebel-Lizorkin space and its applications
The authors introduced a class of spaces, called one-sided Triebel-Lizorkin spaces. Using extrapolation of one-sided weights, they studied the boundedness of commutators generated by one-sided…
Weights for commutators of the one-sided discrete square function, the Weyl fractional integral and other one-sided operators
The purpose of this paper is to prove strong-type inequalities with one-sided weights for commutators (with symbol b ∈ BMO) of several one-sided operators, such as the one-sided discrete square…
Two weight norm inequalities for communtators of one-sided singular integrals and the one-sided discrete square function
Abstract The purpose of this paper is to prove strong type inequalities with pairs of related weights for commutators of one-sided singular integrals (given by a Calderón-Zygmund kernel with support…
Weighted inequalities for commutators of one-sided singular integrals
We prove weighted inequalities for commutators of one-sided singular integrals (given by a Calderón-Zygmund kernel with support in (−∞, 0)) with BMO functions. We give the one-sided version of the…
WEIGHTED INEQUALITIES FOR COMMUTATORS OF FRACTIONAL AND SINGULAR INTEGRALS
We dedicate this paper to the memory of José Luis Rubio de Francia, who developed the theory of extrapolation and gave beautiful applications of vectorial methods in harmonic analysis . Through this…
On one-sided BMO and Lipschitz functions
Two basic results concerning functions with conditions on the mean oscillation are extended to the one-sided setting: the estimate of its distance to L °° and the pointwise one-sided regularity. In…
WEIGHTED LIPSCHITZ ESTIMATES FOR COMMUTATORS OF FRACTIONAL INTEGRALS WITH HOMOGENEOUS KERNELS
In this paper the authors give a sufficient condition such that the commutator generated by the weighted Lipschitz function and the fractional integral operator with homogeneous kernel satisfying…
Weighted norm inequalities for the Riemann-Liouville and Weyl fractional integral operators
Caracterisation des fonctions-poids pour lesquelles l'operateur integral fractionnaire de Riemann-Liouville d'ordre α>0 est borne
Two weight inequalities for fractional one-sided maximal operators on Orlicz and Lorentz spaces
In the paper, we characterize two weight weak and strong type inequalities for the fractional one-sided maximal operators on Lorentz and Orlicz space.
On weighted weak type norm inequalities for one-sided oscillatory singular integrals
We consider one sided weight classes of Muckenhoupt type and study the weighted weak type norm inequalities of a class of one sided oscillatory singular integrals with smooth kernel Introduction…
...
...