Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Can anyone provide references for Radon measures, Bounded variation functions space, and Lebesgue differentiation theorem for Radon Measures, Hausdorff dimensions?

Note:

Online references will be preferred but other references will also be welcomed!

share|improve this question
add comment

1 Answer

These should all be covered in any intro to measure theory and analysis book.

I learned all these from Folland's Real Analysis. In general, I would say that it's a good book. I would also say, however, that it suffers from its own linearity more than usual. By that, I mean that the proofs and concepts are so cumulatively presented that often, in order to appreciate a theorem or proof on page 250, say, you might need to understand all previous material. In fact, I suspect many proof chains can be traced all the way back to the beginning of the book.

Fortunately, radon measures, lebesgue differentiation, and bounded variation all occur near the beginning, and Hausdorff dimension is almost entirely self-contained. So I doubly recommend it to you.

share|improve this answer
    
I agree, Folland's book is great. –  Stefan Smith Mar 14 '12 at 23:35
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.