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For positive f and g, if $\int\int… f\, dx_1\,dx_2… =\infty$, $\int\int…g\, dx_1\,dx_2… =\infty$, is $\int\int… fg\, dx_1\,dx_2…= \infty$?
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For positive f and g, if $\int\int… f\, dx_1\,dx_2… =\infty$, $\int\int…g\, dx_1\,dx_2… =\infty$, is $\int\int… fg\, dx_1\,dx_2…= \infty$?
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