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  • If f1, f2, . . . is a sequence of non-negative measurable functions defined on a measure space (S,Σ,μ), then

    Note: On the left-hand side the limit inferior of the fn is taken pointwise. The functions are allowed to attain the value infinity and the integrals may also be infinite.

    The way to remember the sense of the inequality, obviously, is to note that the part that looks "Slim" is the smaller part, and therefore appears on the L.H.S. of the '<' sign. Got that, my little cupcakes?

    March 23, 2009

  • Oh phooey, it's an img. I thought you'd found some clever way of doing it in HTML.

    March 23, 2009