query: A function $f$ such that $f \in L_1$ but $f \notin L_p$ for $p>1$
positive_passages.docid: 26126
positive_passages.text: $f \in L^1$, but $f \not\in L^p$ for all $p > 1$
negative_passages.docid: 135199
negative_passages.text: Looking for a function $f$ that is $n$-differentiable, but $f^{(n)}$ is not continuous
negative_passages.docid: 39321
negative_passages.text: If $f:\mathbb R \to \mathbb R$ satisfies $f'(x) <L$ for some $L<1$, then $f$ has a unique fixed point
negative_passages.docid: 33488
negative_passages.text: A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
negative_passages.docid: 125043
negative_passages.text: Show that F(A−B) is not necessarily a subset of F(A)−F(B).
negative_passages.docid: 53173
negative_passages.text: Infinitely differentiable functions with compact support are dense in $L^p$
negative_passages.docid: 113450
negative_passages.text: Construction of a function which is not the pointwise limit of a sequence of continuous functions
negative_passages.docid: 103241
negative_passages.text: A function that is continuous at the origin but not differentiable there
negative_passages.docid: 21371
negative_passages.text: Is it possible for a function to be in $L^p$ for only one $p$?
negative_passages.docid: 29114
negative_passages.text: If $f \in L^{p_1}(E) $ is bounded then $f\in L^{p_2}$ for any $p_2>p_1$
negative_passages.docid: 123132
negative_passages.text: Counterexample for a non-measurable function?
negative_passages.docid: 51395
negative_passages.text: $f\in L^1(\mathbb{R}) \cap C^1(\mathbb{R})$ and $f'\in L^1(\mathbb{R})$
negative_passages.docid: 33130
negative_passages.text: $f$ differentiable except in $1$ point
negative_passages.docid: 68165
negative_passages.text: Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
negative_passages.docid: 93806
negative_passages.text: $\|f\|_{L^{p}}=\sup\left\{\int_{{\bf R}^{n}}|f(x)g(x)|~dx:\|g\|_{L^{q}}\le1\right\}$
negative_passages.docid: 115417
negative_passages.text: Continuity of $L^1$ functions with respect to translation
negative_passages.docid: 124844
negative_passages.text: Show that $\phi \circ f$ belongs to $L_p$ for each $f \in L_p$