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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $\displaystyle L = -\frac{1}{w} \, \mathrm{div}(A \, \nabla u) + \mu$ bethe generalized degenerate Schr\"odinger operator in $L^2_w(\mathbb{R}^d)$ with$d\ge 3$ with suitable weight $w$ and measure $\mu$. The main aim of this paperis threefold. First, we obtain an upper bound for the fundamental solution ofthe operator $L$. Secondly, we prove some estimates for the heat kernel of $L$including an upper bound, the H\"older continuity and a comparison estimate.Finally, we apply the results to study the maximal function characterizationfor the Hardy spaces associated to the critical function generated by theoperator $L$.

Heat kernels of generalized degenerate Schr\"odinger operators and Hardy spaces