Pacific Journal of Mathematics

$(A_2)$-conditions and Carleson inequalities in Bergman spaces.

Takahiko Nakazi and Masahiro Yamada
Source: Pacific J. Math. Volume 173, Number 1 (1996), 151-171.
First Page: Show Hide
Primary Subjects: 46E20
Secondary Subjects: 30D99, 30E20
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102365848
Zentralblatt MATH identifier: 0847.30025
Mathematical Reviews number (MathSciNet): MR1387796

References

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Zentralblatt MATH: 0296.31009
[3] R. Hunt, B. Muckenhoupt and R. Wheeden, Weighted norm inequalities for the conjugate function and Hilbert transform, Trans. Amer. Math. Soc, 176 (1973), 227-251.
Mathematical Reviews (MathSciNet): MR47:701
Zentralblatt MATH: 0262.44004
[4] D. Luecking, Inequalitiesin Bergman spaces,III.J. Math., 25 (1981), 1-11.
Mathematical Reviews (MathSciNet): MR82e:30072
Zentralblatt MATH: 0437.30025
[5] D. Luecking, Forward and reverse Carleson inequalitiesfor functions in Bergmanspaces and their derivatives,Amer. J. Math., 107 (1985), 85-111.
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Zentralblatt MATH: 0584.46042
[6] D. Luecking, Representation and duality in weightedspacesof analyticfunctions, Indiana Univ. Math. J., 34 (1985), 319-336.
Mathematical Reviews (MathSciNet): MR86e:46020
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[7] V. Oleinik and B. Pavlov, Embedding theorems for weighted classes of harmonic and analytic functions, J. Soviet Math., 2 (1974), 135-142.
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[8] D. Stegenga, Multipliers of the Dirichlet space,III. J. Math., 24 (1980), 113-139.
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Zentralblatt MATH: 0706.47019

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