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/

Global: Zendy Plus annual

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

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We obtain improved bounds for pseudodifferential operators with rough symbolson Hardy spaces for Fourier integral operators. The symbols $a(x,\eta)$ areelements of $C^{r}_{*}S^{m}_{1,\delta}$ classes that have limited regularity inthe $x$ variable. We show that the associated pseudodifferential operator$a(x,D)$ maps between Sobolev spaces $\mathcal{H}^{s,p}_{FIO}(\mathbb{R}^{n})$and $\mathcal{H}^{t,p}_{FIO}(\mathbb{R}^{n})$ over the Hardy space for Fourierintegral operators $\mathcal{H}^{p}_{FIO}(\mathbb{R}^{n})$. Our main result isthat for all $r>0$, $m=0$ and $\delta=1/2$, there exists an interval of $p$around $2$ such that $a(x,D)$ acts boundedly on$\mathcal{H}^{p}_{FIO}(\mathbb{R}^{n})$.

Rough pseudodifferential operators on Hardy spaces for Fourier integral operators II