Br09
Reputation
550
Top tag
Next privilege 1,000 Rep.
Create new tags
 Apr 24 awarded Notable Question Apr 23 accepted About $L^{p}$ norms and the Hilbert transform Apr 23 comment About $L^{p}$ norms and the Hilbert transform Thanks for your answer. Let me just ask a couple of things more: how does the $\sigma$-finite property of the Lebesgue measure imply that I can use the characterization? Is there any reference where I can read the proof? Second, okay, let us restric the domain of $H$ to $\mathcal{S}(\mathbb{R})$. Can I restrict the supremum to all functions $g\in\mathcal{S}(\mathbb{R})$ with $L^{p^{\prime}}$ norm $\leq 1$? I can prove that this is true if I know previously that $Hf$ is in $L^{p}$. Apr 23 asked About $L^{p}$ norms and the Hilbert transform Feb 28 awarded Nice Question Jul 21 asked Absolute continuity via maximal operator Jun 1 accepted About convergence in norm of the Fourier Transform May 31 comment About convergence in norm of the Fourier Transform Why does the convergence holds for $g$ in the Schwartz class? May 29 comment About convergence in norm of the Fourier Transform Yes, but the convergence here is in norm. I don't see how this solves... :( May 25 asked About convergence in norm of the Fourier Transform May 7 revised An entire function that must be a polynomial added 15 characters in body May 7 revised An entire function that must be a polynomial deleted 1 character in body May 7 comment An entire function that must be a polynomial I edited the question with the definition that I'm using :) May 7 revised An entire function that must be a polynomial added 214 characters in body May 7 awarded Informed May 7 comment An entire function that must be a polynomial But every function of exponential type zero would have to be constant, which is not true because any polynomial is of exponential type zero. May 7 asked An entire function that must be a polynomial Apr 20 awarded Nice Question Apr 12 comment Estimating an integral using the Poisson summation formula It's $\sum_{|m| \leq j}f(m)$ in the end, right? Apr 11 accepted Estimating an integral using the Poisson summation formula