Matching Tag: orthonormal-systems
Let n ≥ 2 n\geq2 n ≥ 2 1 2 < s < n 2 \frac12<s<\frac n2 2 1 < s < 2 n ( f j ) j (f_j)_j ( f j ) j H s ( R n ) H^s(\mathbb{R}^n) H s ( R n ) β \beta β
Let n ≥ 2 n\geq2 n ≥ 2 q ≥ 2 ( n + 1 ) n − 1 q\geq \frac{2(n+1)}{n-1} q ≥ n − 1 2 ( n + 1 ) ( f j ) j (f_j)_j ( f j ) j H ˙ s ( R n ) \dot{H}^s(\mathbb{R}^n) H ˙ s ( R n )
Let n ≥ 2 n\geq2 n ≥ 2 ( 1 / p , 1 / q ) (1/p,1/q) ( 1/ p , 1/ q ) ( O , A ] (O,A] ( O , A ] s s s { f j } j ∈ J ⊂ H ˙ s ( R n ) \{f_j\}_{j\in J}\subset\dot{H}^{s}(\mathbb{R}^n) { f j } j ∈ J ⊂ H ˙ s ( R n )
Let n ≥ 1 n\geq1 n ≥ 1 A = ( 1 / p , 1 / q ) = ( ( n − 1 ) / ( n + 1 ) , n / ( n + 1 ) ) A=(1/p,1/q)=((n-1)/(n+1),n/(n+1)) A = ( 1/ p , 1/ q ) = (( n − 1 ) / ( n + 1 ) , n / ( n + 1 )) { f j } j ∈ J ⊂ L 2 ( R n ) \{f_j\}_{j\in J}\subset L^2(\mathbb{R}^n) { f j } j ∈ J ⊂ L 2 ( R n )
Let 2 ≤ q < p < ∞ 2\le q<p<\infty 2 ≤ q < p < ∞ Φ \Phi Φ Θ \Theta Θ K p ∗ ( Θ ) K_p^*(\Theta) K p ∗ ( Θ )
Restricted-type endpoint conjecture. The estimate
