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Asymptotic behavior of functions, asymptotic series and related topics

4 votes
1 answer
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Bounding $\int_{\mathbb{R}_{+}}W(x,\lambda)W(y,\lambda)d\lambda$

Let $$W:\mathbb{R}_{+}^{2}\rightarrow(0,1]$$ be a symmetric, integrable function. Let $$f(x)=\int_{\mathbb{R}_{+}}W(x,\lambda)d\lambda$$ and assume this function is monotonically non-increasing. Is th …
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