query: Interpolation inequality on Holder space
positive_passages.docid: 19078
positive_passages.text: Prove an interpolation inequality
negative_passages.docid: 9159
negative_passages.text: $L^p$-norm of a non-negative measurable function
negative_passages.docid: 45988
negative_passages.text: limit of Holder norms: $\sup\limits_{x\in [a,b]} f(x) = \lim\limits_{n\rightarrow\infty} \left(\int_a^b (f(x))^n \;dx\right)^{\frac{1}{n}}$
negative_passages.docid: 106815
negative_passages.text: Better bound for integral inequality
negative_passages.docid: 61931
negative_passages.text: Positive operator is bounded
negative_passages.docid: 111907
negative_passages.text: Prove that Cantor function is Hölder continuous
negative_passages.docid: 31302
negative_passages.text: Hilbert Schmidt Norm-Rank-inequality
negative_passages.docid: 89555
negative_passages.text: Inequality for the p norm of a convolution
negative_passages.docid: 123478
negative_passages.text: Generalized Poincaré Inequality on H1 proof.
negative_passages.docid: 144656
negative_passages.text: Linear functional and a bounded norm
negative_passages.docid: 42302
negative_passages.text: Use of Holder inequality in gradient estimate for harmonic function.
negative_passages.docid: 37072
negative_passages.text: Sharp interpolation inequality for Lebesgue spaces
negative_passages.docid: 2129
negative_passages.text: Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$
negative_passages.docid: 77493
negative_passages.text: Classic $c_r$-inequality in $l_r$ space: $E(|X+Y|^r)\leq c_r[E(|X|^r)+E(|Y|^r)]$
negative_passages.docid: 23231
negative_passages.text: Convergence of $A_nT$ to $AT$ in operator norm for compact $T$
negative_passages.docid: 38761
negative_passages.text: Is the $ L^{p}$$[0,1]$ norm continuous in p?
negative_passages.docid: 146839
negative_passages.text: Orthogonal Projection onto the $ {L}_{\infty} $ Unit Ball