TY - JOUR
T1 - Differences of composition operators on weighted Bergman spaces
AU - Lo, Ching on
AU - Loh, Anthony Wai keung
N1 - Publisher Copyright:
© 2021, Università degli Studi di Napoli "Federico II".
PY - 2021/5/8
Y1 - 2021/5/8
N2 - We obtain a new boundedness criterion for the difference of two composition operators from a weighted Bergman space Aαp into a Lebesgue space Lq(μ) , where 0 < q< p and α> - 1. As a consequence, we provide a direct proof that such a bounded difference operator is necessarily compact. We also characterize compact differences of composition operators from Aαp into Aβq explicitly for 0 < p≤ q and α, β> - 1.
AB - We obtain a new boundedness criterion for the difference of two composition operators from a weighted Bergman space Aαp into a Lebesgue space Lq(μ) , where 0 < q< p and α> - 1. As a consequence, we provide a direct proof that such a bounded difference operator is necessarily compact. We also characterize compact differences of composition operators from Aαp into Aβq explicitly for 0 < p≤ q and α, β> - 1.
KW - Bounded
KW - Compact
KW - Composition operator
KW - Difference
KW - Weighted Bergman space
UR - http://www.scopus.com/inward/record.url?scp=85105433675&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/d51f1f7a-16a8-3281-8b8a-8b8aac327b1e/
U2 - 10.1007/s11587-021-00592-2
DO - 10.1007/s11587-021-00592-2
M3 - Article
AN - SCOPUS:85105433675
SN - 0035-5038
JO - Ricerche di Matematica
JF - Ricerche di Matematica
ER -