Recent content by anselcoffee

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    Question about L2 which is not L-infinity

    i'm just so concerned because some integrals of functions become finite because of the domain restrictions... ok. i'll try thinking of a spherically symmetric func, to make things simpler.
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    Question about L2 which is not L-infinity

    @dick i was just thinking in terms of x,y to make things easier to imagine. i restricted my domain as a unit circle in the x,y plane. an unbounded f that is square integrable on a unit sphere... **** thinking thinking thinking... f(x,y)=exp(1/xy)? ?? it is unbounded as x,y approaches 0...
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    Question about L2 which is not L-infinity

    L_{\infty} = inf{C>=0: |f(x)| <=C for almost every x} f is an element of L_{\infty}=||f||p as p approaches infinity is finite from here, we derived the fact that the function u that we stated is of a p-series with p<1 for L2, therefore, the integration is finite. therefore is an element of L2...
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    Question about L2 which is not L-infinity

    Homework Statement Construct a function u of the space H'(B), where B is a unit sphere in R^3, which does not belong to L∞(B). Homework Equations (relevant facts) all L2 are hilbert, therefore the problem reduces for us finding an L2 function which is not L-infinity. The Attempt...
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