Abstract
We prove that the harmonic conjugation operator on variable exponent harmonic Bergman spaces in the unit disc is bounded when the exponent has positive minimum and finite maximum and satisfies the log-Hölder condition. Under these conditions on the exponent, we also give a characterization of variable exponent Bergman spaces in terms of the derivatives of functions in them. Several key lemmas involve the boundedness of various maximal operators in these variable spaces.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
