Timeline for What's the idea behind various equivalent norms on Besov spaces $B^{s}_{p,q}$?
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| Nov 19, 2014 at 14:49 | comment | added | Tomas | Fourier transform exchanges smoothness of a function $f$ and the decay at infinity of $\hat{f}$. The original definition is on the Fourier side, which measures the decay at $\infty$, the second definition emphasize the smoothness of $f$ | |
| Nov 19, 2014 at 9:30 | comment | added | Dirk | Another book that is quite detailed is Runst and Sickel's Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations. However, I guess for the equivalence of the norms they refer to Triebel… | |
| Nov 19, 2014 at 9:24 | comment | added | Willie Wong | I am pretty sure you can find your answers in Adams and Fournier's Sobolev Spaces. The books has a reference section so you can probably also find the original papers there. // Additionally you may want to look at Hans Triebel's Theory of function spaces I and II. | |
| Nov 19, 2014 at 7:27 | history | edited | Inquisitive | CC BY-SA 3.0 |
added 27 characters in body
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| Nov 19, 2014 at 7:06 | history | asked | Inquisitive | CC BY-SA 3.0 |