Muckenhoupt type weights and Berezin formulas for Bergman spaces
نویسندگان
چکیده
By means of Muckenhoupt type conditions, we characterize the weights ω on C such that Bergman projection Fα2,ℓ=H(C)∩L2(C,e−α2|z|2ℓ), α>0, ℓ>1, is bounded Lp(C,e−αp2|z|2ℓω(z)), for 1<p<∞. We also obtain explicit representation integral formulas functions in weighted spaces Ap(ω)=H(C)∩Lp(ω). Finally, check validity so called Sarason conjecture about boundedness products certain Toeplitz operators Fαp,ℓ=H(C)∩Lp(C,e−αp2|z|2ℓ).
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125481