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

We discuss mixed weak type inequalities in weighted spaces for one-sided operators. In particular, we prove that if  T c  f ( x ) = ( x  −  c ) −1  ∫   c    x   f ( y ) d y ,  x  &gt;  c , is the Hardy averaging operator,  u  ∈  A  1  −  (one-sided Muckenhoupt  A  1  class), and  v  ∈  A  1  +  (another one-sided Muckenhoupt  A  1  class), then there exists a constant  C  such that sup  c ∈ℝ  ∫  { x :| T c f ( x )| &gt;  v ( x )}  uv  ≤  C ∫  ℝ | f | u .

MIXED WEAK TYPE INEQUALITIES FOR ONE-SIDED OPERATORS