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The analogues of Marcinkiewicz multiplier theorem and Littlewood-
Paley theorem are proved for p-Faber series in weighted Smirnov
spaces defined on bounded and unbounded components of a rectifiable
Jordan curve.
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참고문헌 (16)
참고문헌 신청
A. Bottcher / 1997 / Muckenhoupt Weights, and Toeplitz Operators, Progress in Mathematics / Birkhauser Verlag : 154 ~
A. Zygmund / 1959 / Trigonometric Series, Vol. I-II / Cambridge Univ. Press
B. Muckenhoupt / 1972 / Weighted norm inequalities for the Hardy maximal function / Transactions of the American Mathematical Society 165 : 207 ~ 226
D. M. Israfilov / 2001 / Approximation by p-Faber polynomials in the weighted Smirnov class Ep(G, ω) and the Bieberbach polynomials / Constructive Approximation 17 (3) : 335
D. M. Israfilov / 2004 / Approximation by p-Faber-Laurent rational functions in the weighted Lebesgue spaces / CZECHOSLOVAK MATHEMATICAL JOURNAL 54 (3) : 751 ~ 765
A. Zygmund / 1959 / Trigonometric Series, Vol. I-II / Cambridge Univ. Press
B. Muckenhoupt / 1972 / Weighted norm inequalities for the Hardy maximal function / Transactions of the American Mathematical Society 165 : 207 ~ 226
D. M. Israfilov / 2001 / Approximation by p-Faber polynomials in the weighted Smirnov class Ep(G, ω) and the Bieberbach polynomials / Constructive Approximation 17 (3) : 335
D. M. Israfilov / 2004 / Approximation by p-Faber-Laurent rational functions in the weighted Lebesgue spaces / CZECHOSLOVAK MATHEMATICAL JOURNAL 54 (3) : 751 ~ 765
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