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zaq123321

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douzeyang: ½ð±Ò+50, ¡ï¡ï¡ïºÜÓаïÖú 2015-09-13 10:03:21
I think he wants to use the example g=1/r. If g=1/r, then g in L^2 but g not in L^1. Also |r|>1. If g=1/r^2, |r|>1, then g in L1 and g in L2

[ ·¢×ÔÊÖ»ú°æ http://muchong.com/3g ]
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2Â¥2015-09-12 12:11:03
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zaq123321

ר¼Ò¹ËÎÊ (ÖøÃûдÊÖ)

Also can you tell who is the author if the book

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3Â¥2015-09-12 12:12:13
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douzeyang

гæ (³õÈëÎÄ̳)

ÒýÓûØÌû:
3Â¥: Originally posted by zaq123321 at 2015-09-12 12:12:13
Also can you tell who is the author if the book

Ó¢ÎÄÃû×ֽС®Image processing and analysis£º variational£¬PDE and stochastic methods ¡¯£¬ ×÷ÕßÊÇ Tony F Chan
4Â¥2015-09-12 12:30:40
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hank612

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
2Â¥: Originally posted by zaq123321 at 2015-09-12 12:11:03
I think he wants to use the example g=1/r. If g=1/r, then g in L^2 but g not in L^1. Also |r|>1. If g=1/r^2, |r|>1, then g in L1 and g in L2
...

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¶ÔR^2À´Ëµ£¬ »ý·Ö£¨¼«×ù±ê£©Ãæ»ýÔªÊÇ, ËùÒÔ ¶Ôa>0, ÓÐÊÇ·¢É¢µÄ, ¶øg^2µÄ»ý·Ö¾ÍÊÇÊÕÁ²µÄ¡££¨ÎÄÕÂÖж¨ÒåµÄº¯ÊýgÆðÂëÓ¦¸Ã±Ü¿ªÔ­µãÕâ¸öÆæµã£¬·ñÔò²»ÑÏÃÜ£©
We_must_know. We_will_know.
5Â¥2015-09-12 12:58:38
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douzeyang

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ÒýÓûØÌû:
5Â¥: Originally posted by hank612 at 2015-09-12 12:58:38
ÄãÕë¶ÔµÄÊÇһάÇé¿ö£¬ ¶øÂ¥Ö÷˵µÄÊǶþάÇé¿ö£¬ Á½¸öÈË˵µÄ¶¼ÊÇÕýÈ·µÄ¡£

¶ÔR^2À´Ëµ£¬ »ý·Ö£¨¼«×ù±ê£©Ãæ»ýÔªÊÇdS=dxdy= rdrd\theta, ËùÒÔ ¶Ôa>0, ÓÐ\int_{0}^{2\pi}\int_{a}^{\infty}\frac{1}{r^2}\cdot rdrd\ ...

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6Â¥2015-09-12 15:56:56
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shenyxtata

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ÒýÓûØÌû:
5Â¥: Originally posted by hank612 at 2015-09-12 12:58:38
ÄãÕë¶ÔµÄÊÇһάÇé¿ö£¬ ¶øÂ¥Ö÷˵µÄÊǶþάÇé¿ö£¬ Á½¸öÈË˵µÄ¶¼ÊÇÕýÈ·µÄ¡£

¶ÔR^2À´Ëµ£¬ »ý·Ö£¨¼«×ù±ê£©Ãæ»ýÔªÊÇdS=dxdy= rdrd\theta, ËùÒÔ ¶Ôa>0, ÓÐ\int_{0}^{2\pi}\int_{a}^{\infty}\frac{1}{r^2}\cdot rdrd\ ...

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7Â¥2015-09-12 18:23:30
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zaq123321

ר¼Ò¹ËÎÊ (ÖøÃûдÊÖ)

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ÒýÓûØÌû:
7Â¥: Originally posted by shenyxtata at 2015-09-12 18:23:30
ΪʲôҪ±Ü¿ªÄ³¸öµã£¿
ÎÒ¾õµÃ¼ÈÈ»ÒѾ­¶¨ÒåÁËg(r)£¬Ò²¶¨ÒåÁËdomain (R^2)£¬¾ÍÓ¦¸ÃÌÖÂÛʵ¼ÊµÄÇé¿ö¡£

ËùÒÔg(r)¼È²»ÊÇL1£¬Ò²²»ÊÇL2...

3x for discussion. It's not that rigorous

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8Â¥2015-09-12 18:45:44
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shenyxtata

½ð³æ (ÕýʽдÊÖ)

ÒýÓûØÌû:
8Â¥: Originally posted by zaq123321 at 2015-09-12 18:45:44
3x for discussion. It's not that rigorous
...

So the author is not rigorous....
9Â¥2015-09-12 19:13:27
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