 96471 A.Kiselev
 An interpolation theorem related to the a.e. convergence of integral operators.
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Oct 2, 96

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Abstract. We show that for integral operators of general form the norm bounds in Lorentz spaces imply certain norm bounds for the maximal function. As a consequence, the a.e. convergence for the integral operators on the Lorentz spaces follows from the appropriate
norm estimates. Applications to the spectral theory of onedimensional Schr\"odinger operators are discussed.
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