# math.CA

This is an arXiv category tag: it contains classical analysis (real analysis and harmonic analysis of Euclidean spaces), and ordinary differential equations as subjects.

### Sum space need not be normed

Apologies if this post is shoddily written; I mainly just wanted to record an explicit counterexample before I forget it, and this post …

### Some Notes on Weighted Sobolev Spaces

Embedding theorems for Weighted Sobolev Spaces

### The Second Mean Value Theorem for Integrals

This post concerns the second mean value theorem for definite integrals. Theorem    [Second MVT for Integrals] Let $w$ be a …

### Integration Theories

Since I am preparing to teach intro real analysis this fall, it is a good time for me to get reacquainted with Riemann integration and …

### Moore-Osgood Theorem

This short post aims at proving a general version of the Moore-Osgood Theorem on interchanging of limits. Theorem   …

### Colloquium Notes: Craig Evans

L. Craig Evans is a professor at UC Berkeley. For many students he is best known for his textbook on partial differential equations. I …

### A Criterion for Real Roots

When does a polynomial with real coefficients have only real roots? Here's one way to determine it.

### A Weighted/Interpolated Young's Inequality

A follow up to my previous post on Young's inequality.

### Lie Groups

Some introductory notes about the definition and geometry of Lie groups, and their analysis.

### The Translation Action on Function Spaces

Preliminaries Here's something I learned from Chongchun Zeng of Georgia Tech, while chatting over some hors-d'oeuvres at the AMS …