논문KCI 등재
Compact sums of Toeplitz products on weighted Dirichlet space of the unit ball
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
On the weighted Dirichlet space, by the Sobolev's embedding theorem, we characterize the compactness for operators which are finite sums of products of several Toeplitz operators. Moreover, the essential spectrum of Toeplitz operator is characterized.
Abstract
On the weighted Dirichlet space, by the Sobolev's embedding theorem, we characterize the compactness for operators which are finite sums of products of several Toeplitz operators. Moreover, the essential spectrum of Toeplitz operator is characterized.
참고문헌 (7)
- T. Le, "Compact Toeplitz operators with continuous symbols", Glasg. Math. J, 51(2), pp.257~261 (2009)
- T. Le, "On Toeplitz operators on Bergman spaces of the unit polydisk", Proc. Amer. Math. Soc, 138(1), pp.275~285 (2010)
- Y. J. Lee, "Algebraic properties of Toeplitz operators on the Dirichlet space", J. Math. Anal. Appl, 329(2), pp.1316~1329 (2007)
- Y. J. Lee, "Compact sums of Toeplitz products on weighted Bergman and Dirichlet spaces", Complex Anal. Oper. Theory, 10(8), pp.1799~1809 (2016)
- T. Nakazi, "Riesz's functions in weighted Hardy and Bergman spaces", Canad. J. Math, 48(5), pp.930~945 (1996)
- T. Nakazi, "Compact Toeplitz operators with continuous symbols on weighted Bergman spaces", Glasg. Math. J, 42(1), pp.31~35 (2000)
- T. Yu, "Toeplitz operators on the Dirichlet space", Integral Equations Operator Theory, 67(2), pp.163~170 (2010)
관련 논문AI추천
Fredholm Toeplitz operators on the Dirichlet spaces of the polydisk나경욱대한수학회 · 대한수학회보2020 · 제57권 제2호PRODUCTS OF DIFFERENTIATION AND COMPOSITION OPERATORS FROM THE BLOCH SPACE AND WEIGHTED DIRICHLET SPACES TO MORREY TYPE SPACESQinghua Hu, Songxiao Li대한수학회 · 대한수학회지2017 · 제54권 제2호Some Toeplitz operators on weighted Bergman spaces강시호대한수학회 · 대한수학회보2011 · 제48권 제1호Reducing subspaces for a class of Toeplitz operators on weighted Hardy spaces over bidiskShuhei Kuwahara대한수학회 · 대한수학회보2017 · 제54권 제4호ZERO SUMS OF DUAL TOEPLITZ PRODUCTS ON THE ORTHOGONAL COMPLEMENT OF THE DIRICHLET SPACE이영주대한수학회 · 대한수학회보2023 · 제60권 제1호Reducing subspaces for Toeplitz operators on the polydiskYanyue Shi, Yufeng Lu대한수학회 · 대한수학회보2013 · 제50권 제2호
이 간행물의 다른 논문 (25건)
Improving the Pocklington and Padr\'{o}-S\'{a}ez cube root Algorithm이향숙, 조국화pp. 277-283Cyclic codes from the first class two-prime Whiteman's generalized cyclotomic sequence with order 6Pramod Kumar Kewat, Priti Kumaripp. 285-301Erratum: ``(Weak) Implicative hyper $K$-ideals", Bull. Korean Math. Soc. 40 (2003), No. 1, pp. 123--137Mohammad Ali Nasr-Azadani, Soodabeh Madadi-Dargahipp. 303-303Potentially eventually positive broom sign patternsBer-Lin Yupp. 305-318Average values on the Jacobian variety of a hyperelliptic curve정지만, 임보해pp. 333-349