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Weighted composition operators on Lorentz spaces

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Abstract

In this paper we characterize the boundedness, compactnessand closedness of the range of the weighted composition operators onLorentz spacesL(p;q), 1< p 1 , 1 q 1 .

참고문헌 (13)

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  2. "Interpolation of operators" (1988), Academic Press Inc
  3. "A note on compact weighted composition operators on Lp", pp.1~2 (1992)
  4. "Matrix multiplication operators onBanach function spaces", 116(1), pp.71~81 (2006)
  5. "A note on weighted composition operators onLp-spaces", 29(1), pp.47~54 (2003)
  6. "Weighted composition operators between Lp-spaces", 42(2), pp.369~378 (2005)
  7. "Composition operators on Orlicz spaces", 32(7), pp.1117~1122 (2001)
  8. "Composition operators on Banach function spaces", 133(7), pp.2109~2118 (2005)
  9. "Compact composition operators on Lorentz spaces", 57(3-4), pp.109~112 (2005)
  10. "On the ory of spaces Λ" (1951)
  11. "Composition operators on function spaces" (1993), North-HollandMathematics Studies North-Holland Publishing Co
  12. "Introduction to Fourier analysis on Euclidean spaces" (1971), Prince-ton Mathematical Series Princeton University Press Princeton
  13. "Department of MathematicsUniversity of DelhiDelhi - 110007" (1993)

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