Three Revolutions in The Kernel Are Worse Than One | Zendy

Benjamin Jaye | Zendy; Fëdor Nazarov | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Three Revolutions in The Kernel Are Worse Than One

Author(s) -

Benjamin Jaye,

Fëdor Nazarov

Publication year - 2017

Publication title -

international mathematics research notices

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.757

H-Index - 76

eISSN - 1687-0247

pISSN - 1073-7928

DOI - 10.1093/imrn/rnx101

Subject(s) - mathematics , kernel (algebra) , singular integral , bounded function , principal value , almost everywhere , measure (data warehouse) , cauchy distribution , combinatorics , pure mathematics , mathematical analysis , integral equation , database , computer science

An example is constructed of a purely unrectifiable measure $\mu$ for which the singular integral operator whose kernel triples and reverses the argument of a complex number is bounded $L^2(\mu)$. This is in sharp contrast with the results known for the Cauchy transform, whose kernel reverses the argument of a complex number.

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