COMMUTATORS OF TWO COMPRESSED SHIFTS AND THE HARDY SPACE ON THE BIDISC

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NAKAZI TAKAHIKO

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Journal Paper

Paper Information

Journal: Annals of Functional Analysis Year:2014 | Volume:5 | Issue:2 Page(s): 47-52

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Information Journal Paper

Title

COMMUTATORS OF TWO COMPRESSED SHIFTS AND THE HARDY SPACE ON THE BIDISC

Author(s)

NAKAZI TAKAHIKO | Issue Writer Certificate

Keywords

RRESTRICTED SHIFT

COMMUTANT

FINITE RANK

BIDISC

Abstract

For a subset E of the BIDISC D2, M={fÎH2(D2) :f=0on E} and N is the orthogonal complement of M in H2(D2) where H2(D2) is the two variable Hardy space on D2. We describe the FINITE RANK COMMUTANTs of the restricted shifts Sz and Sw on N when E satisfies some natural condition. Moreover we give a sufficient condition for that the Pick interpolation is possible.

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APA: Copy

NAKAZI, TAKAHIKO. (2014). COMMUTATORS OF TWO COMPRESSED SHIFTS AND THE HARDY SPACE ON THE BIDISC. ANNALS OF FUNCTIONAL ANALYSIS, 5(2), 47-52. SID. https://sid.ir/paper/346119/en

Vancouver: Copy

NAKAZI TAKAHIKO. COMMUTATORS OF TWO COMPRESSED SHIFTS AND THE HARDY SPACE ON THE BIDISC. ANNALS OF FUNCTIONAL ANALYSIS[Internet]. 2014;5(2):47-52. Available from: https://sid.ir/paper/346119/en

IEEE: Copy

TAKAHIKO NAKAZI, “COMMUTATORS OF TWO COMPRESSED SHIFTS AND THE HARDY SPACE ON THE BIDISC,” ANNALS OF FUNCTIONAL ANALYSIS, vol. 5, no. 2, pp. 47–52, 2014, [Online]. Available: https://sid.ir/paper/346119/en

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