Nirav
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 Sep30 awarded Explainer Aug24 awarded Yearling Jul18 revised Real Hardy space question added a second attempt Jul15 comment Hardy Space Cancellation Condition @ Guillermo - I also don't follow the mean value theorem line; if $x_b/t$ lies in the line segment between the points $x/t$ and $(y+b_0)/t$, then shouldn't the RHS be something like $$\frac{1}{t^{n+1}}(y+b_0-x)\cdot\phi'(x_b/t)?$$ Jul15 revised Real Hardy space question updated my attempt Jul14 comment Hardy Space Cancellation Condition @ Guillermo - I don't understand why we integrate over $y+B$, shouldn't we be integrating over $B(y, t)$ and is $b_0\in\mathbb{R}^n$ chosen so that $|y+b_0|\geq t$? Jul12 comment Hardy Space Cancellation Condition @ Guillermo - what is $b_0$? Jul10 revised Constructing a specific normalised test function. edited tags Jul10 asked Real Hardy space question Jul5 comment Constructing a specific normalised test function. Yes, I thought of rescaling $\phi$ but then while $\|D\psi\|_{\infty}\leq 1$ I don't have that $\psi$ is a normalised test function. Jul4 comment Constructing a specific normalised test function. @Voliar- as in normalised test functions must integrate over $\mathbb{R^n}$ to equal 1. Jul4 comment Constructing a specific normalised test function. @Voliar I was using a positive test function $\phi$ in my work. Jul4 revised Constructing a specific normalised test function. added 26 characters in body Jul4 revised Constructing a specific normalised test function. added 26 characters in body Jul4 comment Constructing a specific normalised test function. @ Voliar - Sorry, my mistake... I meant $\int \phi(x)\ \mathrm{d}x=1$...I've fixed this in the question. Jul4 asked Constructing a specific normalised test function. Jul2 awarded Curious Jun17 comment Show that $(\log |x|)^2\notin \text{BMO}([-1,1])$. Thanks, I followed my idea with $Q_n\equiv[0, 1/n]$ and got $u\notin\text{BMO}$ but as you said it suffices to work with estimates. Thanks. Jun17 accepted Show that $(\log |x|)^2\notin \text{BMO}([-1,1])$. Jun15 revised Show that $(\log |x|)^2\notin \text{BMO}([-1,1])$. deleted 3 characters in body