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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Let L=-\Delta+V be a Schr\"odinger operator on R^d, d\geq 3. We assume that Vis a nonnegative, compactly supported potential that belongs to L^p(R^d), forsome p>d/2. Let K_t be the semigroup generated by -L. We say that anL^1(R^d)-function f belongs to the Hardy space H_L^1 associated with L ifsup_{t>0} |K_t f| belongs to L^1(R^d). We prove that f\in H_L^1 if and only ifR_j f \in L^1(R^d) for j=1,...,d, where R_j= \frac{d}{dx_j} L^{-1/2} are theRiesz transforms associated with L.

Riesz transform characterization of Hardy spaces associated with Schr\"odinger operators with compactly supported potentials