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visits member for 2 years, 2 months
seen Jun 4 at 13:33

Feb
14
asked Probability space defined by function from X to [0,1]
Feb
10
accepted Bounding the integral of $\exp(-x^2)$
Feb
10
asked Bounding the integral of $\exp(-x^2)$
Feb
4
comment countably additive on countable and uncountable set
@anon271828, : Part (a), i just wanna make sure that is correct, but part (b) i have no idea. Any Hint?
Feb
4
revised countably additive on countable and uncountable set
added 2 characters in body
Feb
4
asked countably additive on countable and uncountable set
Jan
21
accepted Hardy-Littlewood-Sobolev inequality for $p=1$
Jan
1
revised Hardy-Littlewood-Sobolev inequality for $p=1$
Definition of $I_alpha$
Jan
1
asked Hardy-Littlewood-Sobolev inequality for $p=1$
Dec
31
comment $1/|x|^n$ is not integrable
@PavelM: How to check that that your measure satisfying $\mu (B(a,r))\leq Cr^n$? Since $d\mu(x)=\frac{|x|}{x^2+1} dx$, then $\mu(x)=\int \frac{|x|}{x^2+1} dx$, right?
Dec
31
comment $1/|x|^n$ is not integrable
@PavelM : I wanna learn that Hardy-Littlewood-Sobolev inequality (for p=1) is wrong just like lebesgue measure case in Stein book. But now,for a measure that satisfy the above condition.
Dec
31
asked $1/|x|^n$ is not integrable
Dec
29
accepted A question from Stein's book, Singular Integral.
Dec
29
comment A question from Stein's book, Singular Integral.
so we get $lim sup I_\alpha f_m(x) \leq |x|^{-n+\alpha}$, thus we get the hypothesis of fatou. Thanks for the hint
Dec
29
comment A question from Stein's book, Singular Integral.
Is it true that we use Holder Inequality?
Dec
29
comment A question from Stein's book, Singular Integral.
What is the hint for get a bound from the other side?
Dec
28
awarded  Teacher
Dec
28
comment A question from Stein's book, Singular Integral.
@PavelM: Page 119
Dec
28
comment A question from Stein's book, Singular Integral.
@user32240: Not from exercise, but from page 119
Dec
27
asked A question from Stein's book, Singular Integral.