TY - JOUR
T1 - Bergman projection induced by kernel with integral representation
AU - Peláez, José Ángel
AU - Rättyä, Jouni
AU - Wick, Brett D.
N1 - Publisher Copyright:
© 2019, The Hebrew University of Jerusalem.
PY - 2019/10/1
Y1 - 2019/10/1
N2 - Bounded Bergman projections Pω:Lωp(v)→Lωp(v), induced by reproducing kernels admitting the representation1(1−z¯ζ)γ∫01dv(r)1−rz¯ζ,0≤r<1,and the corresponding (1,1)-inequality are characterized in terms of Bekollé-Bonami-type conditions. The two-weight inequality for the maximal Bergman projection Pω+:Lωp(u)→Lωp(v) in terms of Sawyer-testing conditions is also discussed.
AB - Bounded Bergman projections Pω:Lωp(v)→Lωp(v), induced by reproducing kernels admitting the representation1(1−z¯ζ)γ∫01dv(r)1−rz¯ζ,0≤r<1,and the corresponding (1,1)-inequality are characterized in terms of Bekollé-Bonami-type conditions. The two-weight inequality for the maximal Bergman projection Pω+:Lωp(u)→Lωp(v) in terms of Sawyer-testing conditions is also discussed.
UR - https://www.scopus.com/pages/publications/85069685540
U2 - 10.1007/s11854-019-0035-5
DO - 10.1007/s11854-019-0035-5
M3 - Article
AN - SCOPUS:85069685540
SN - 0021-7670
VL - 138
SP - 325
EP - 360
JO - Journal d'Analyse Mathematique
JF - Journal d'Analyse Mathematique
IS - 1
ER -