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

It is well-known that H°° + C on the unit circle is a closed subalgebra of L°°(T), and Rudin proved the (H°° + C)(T2) is a closed subspace of L°°(T2) but it is not an algebra. The multiplier algebra M of (H°°+C)(T2) is determined. Using this charaterization, we study Bourgain algebras of type H°°+C on the torus T2 and the polydisk U2. Both Bourgain algebras of H°°+C and M on the torus coincide with M. We denote by M the space pf Poisson integral of functions in M and CT* (U2) the space of continuous functions on U2 which vanish on T 2. It is proved that all higher Bourgain algebras of H(U2) + C(U2) and H(U2) + Cτz(U2) are all distinct respectively, but every higher Bourgain algebra of H(U2) + C0(U2) coincides with H(U2) + CQ{U2). It is also proved that all higher Bourgain algebras of Λ4 and Λ4 + Co{U2) are all distinct respectively, but every higher Bourgain algebra of M + CT*(U2) coincides with the first Bourgain algebra of M + U2

Multipliers and Bourgain algebras ofH∞+Con the polydisk

Multipliers and Bourgain algebras ofH^∞+Con the polydisk