$M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition | Zendy

Liu Lanzheliu | Zendy

Open Access

$M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition

Author(s) -

Liu Lanzheliu

Publication year - 2013

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.v31i2.16612

Subject(s) - singular integral operators , mathematics , singular integral , type (biology) , mathematical analysis , pure mathematics , lp space , function (biology) , lebesgue integration , maximal operator , integral equation , bounded function , banach space , ecology , evolutionary biology , biology

In this paper, we prove the $M^k$-type sharp maximal function estimates for the commutators related to some singular integral operators satisfying a variant of Hörmander's condition. As an application, we obtain the weighted boundedness of the commutators on Lebesgue and Morrey spaces

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research