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We introduce a 2-variable weighted shift, denoted by $S_2(a,b$, $c,d)$, which arises naturally from analytic function space theory. We investigate when it is subnormal, and compute the Berger measure of it when it is subnormal. And we apply the results to investigate the relationship among 2-variable subnormal, hyponormal and 2-hyponormal weighted shifts.
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참고문헌 (15)
참고문헌 신청
J. Conway / 1991 / The Theory of Subnormal Operators / Mathematical Surveys and Mono-graphs 36
R. Courant / 1989 / Introduction to Calculus and Analysis Vol. 2 / Springer-Verlag
J. Cui / 2014 / Berger measure for S(a; b; c; d) / J. Math. Anal. Appl 413(1):202~211
R. Curto / 1990 / Joint hyponormality: A bridge between hyponormality and subnormality / Proc. Sympos. Pure Math 51:69~91
R. Curto / 2005 / k-Hyponormality of multivariable weighted shifts / J. Funct. Anal 229(2):462~480
R. Courant / 1989 / Introduction to Calculus and Analysis Vol. 2 / Springer-Verlag
J. Cui / 2014 / Berger measure for S(a; b; c; d) / J. Math. Anal. Appl 413(1):202~211
R. Curto / 1990 / Joint hyponormality: A bridge between hyponormality and subnormality / Proc. Sympos. Pure Math 51:69~91
R. Curto / 2005 / k-Hyponormality of multivariable weighted shifts / J. Funct. Anal 229(2):462~480
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