English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In this work we provide an asymptotic expansion for the Szeg\H{o} kernelassociated to a suitably defined Hardy space on the the non-smooth worm domain$D'_\beta$. After describing the singularities of the kernel, we compare itwith an asymptotic expansion of the Bergman kernel. In particular, we show thatthe Bergman kernel has the same singularities of the first derivative of theSzeg\H{o} kernel with respect to any of the variables. On the side, we provethe boundedness of the Bergman projection operator on Sobolev spaces of integerorder.

A comparison between the Bergman and Szeg\H{o} kernels of the non-smooth worm domain $D'_\beta$