We establish an analog Hardy inequality with sharp constant involving exponential weight function. The special case of this inequality (for n = 2) leads to a direct proof of Onofri inequality on S.

We wish to demonstrate here the following elementary inequality of the differential calculus. If a function satisfies the conditions {ƒ(*)} ^ 1 and {/(x)} 2 + {F-»(x)} ^ 1 for all x and for some positive integer n, then the latter inequality is valid also when n is replaced by any smaller positive integer. Tha t such an inequality might be true is suggested by the validity of a similar but more...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...

It?s a special moment in U.S. history in which income inequality has reached unprecedented levels, poverty remains extreme, and racial and gender inequalities are intransigent. Why is there so much inequality and poverty? How might they be reduced? Find out from the country?s top scholars in our course on poverty and inequality. The course is offered through Stanford Online [2] and the course v...