논문KCI 등재
Ascent and descent of composition operators on Lorentz spaces
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In this paper, we provide various characterizations for the composition operator on Lorentz spaces $L(p,q)$, $1<p\le \infty$, $1\le q\le\infty$ to have finite ascent (descent) in terms of its inducing measurable transformation. At the end, in order to demonstrate our outcomes, some examples are given.
Abstract
In this paper, we provide various characterizations for the composition operator on Lorentz spaces $L(p,q)$, $1<p\le \infty$, $1\le q\le\infty$ to have finite ascent (descent) in terms of its inducing measurable transformation. At the end, in order to demonstrate our outcomes, some examples are given.
참고문헌 (14)
- S. C. Arora, "Composition operators on Lorentz spaces", Bulletin of the Australian Mathematical Society, 76(2), pp.205~214 (2007), Cambridge University Press (CUP)[DOI]
- S. C. Arora, "Multiplication and composition operators on Lorentz-Bochner spaces", Osaka J. Math, 45(3), pp.629~641 (2008)[DOI]
- S. C. Arora, "Operators on Lorentz sequences spaces", Math. Bohem, 134(1), pp.87~98 (2009)
- James T Campbell, "The analysis of composition operators on Lp and the Hopf decomposition", Journal of Mathematical Analysis and Applications, 159(2), pp.520~531 (1991), Elsevier BV[DOI]
- H. Chandra, "Ascent and descent of composition operators on lp spaces", Demonstratio Math, 43(1), pp.161~165 (2010)
- Y. Estaremi, "A note on multiplication and composition operators in Orlicz spaces", Filomat, 32(7), pp.2693~2699 (2018)
- R. K. Giri, "On the properties of ascent and descent of composition operator on Orlicz spaces", Math. Sci. Appl. E-Notes, 5(1), pp.70~76 (2017)
- R. A. Hunt, "On L(p, q) spaces", Enseign. Math. (2), 12, pp.249~276 (1966)
- G. G. Lorentz, "Some New Functional Spaces", The Annals of Mathematics, 51(1), pp.37~ (1950), JSTOR[DOI]
- G. G. Lorentz, "On the theory of spaces Λ", Pacic J. Math, 1, pp.411~429 (1951)[DOI]
- Friedrich Riesz, "Über lineare Funktionalgleichungen", Acta Mathematica, 41(0), pp.71~98 (1916), International Press of Boston[DOI]
- R. K. Singh, "Composition operators on function spaces" (1993), North-Holland Publishing Co
- A. E. Taylor, "Introduction to Functional Analysis" (1958), John Wiley & Sons, Inc
- Angus E. Taylor, "Theorems on ascent, descent, nullity and defect of linear operators", Mathematische Annalen, 163(1), pp.18~49 (1966), Springer Science and Business Media LLC[DOI]
관련 논문AI추천
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