This is the author's web site of the book Classical and Modern Fourier Analysis
(currently 1st edition,1st printing).
Information about the material it contains can be obtained from the publisher's site at Prentice Hall.
A review of this book can be found here.

KNOWN ERRATA

Page 71: Only the iteration idea of this exercise (not the actual result) should be attributed to T. Wolff.
Page 126: Note that $b(n,\alpha,z)$ is zero when $|\alpha|$ is odd and therefore the comments on the top of page 126 refer to the case $|\alpha|$ is even.
Page 189: Theorem 3.3.6 is due to Dini when $n=1$ and to Tonelli when $n \ge 2$.
Page 189: Corollary 3.3.7 is only valid when $n=1$ and should have been stated in this case only.
Page 191: Exercise 3.3.2. The answer to the fourth sum is $2\pi$ divided by $e^\pi -e^{-\pi}$
Page 238: Line 7. Replace $2^{-k} \widehat{f}(k)$ by $3^k \widehat{f}(3^k)$ and $\widehat{f}(k)=3^k$ by $\widehat{f}(3^k)=2^{-k}$.
Page 369: Theorem 5.3.2. The set $U$ should be a product of one-dimensional intervals.
Page 370: Only the first 5 lines of the proof of Theorem 5.3.2 are needed. The vector-valued inequality in the middle of page 370 is an an easy consequence of Exercise 4.6.1 (b)
Page 370: Corollary 5.3.3. The first conclusion of the theorem is valid for $f$ in $L^2(R^n)$ and the second for $f$ in $L^p(R^n)$, $1<p<\infty$.
Page 376: Line 4 (second formula in the aligment) is redundant and should be removed.
Page 407: Exercise 5.6.5. Assume that the Fourier transform of $\psi$ is compactly supported.
Page 437: Line 5. The sum in $s$ should start from $s=0$.
Page 438: (6.3.3) should read $$ D_h(f)(x) = \int_0^1 \sum_{j=1}^n (\partial_j f)(x+sh) h_j ds $$
Page 438: (6.3.4) should read $$ D_h^k(f)(x) = \int_0^1 \dots \int_0^1 \sum_{j_1=1}^n\dots \sum_{j_k=1}^n (\partial_{j_1} \dots (\partial_{j_k} f)(x+(s_1+\dots + s_k)h) h_{j_1}\dots h_{j_k}\, ds_1\dots ds_k $$
Page 440: Line 3 should read $$\int_0^1 \dots \int_0^1 \sum_{m_1=1}^n\dots \sum_{m_{k+1}=1}^n h_{m_1}\dots h_{m_{k+1}}(\partial_{m_1} \dots (\partial_{m_{k+1}} \eta_{2^{-j}})(x+(s_1+\dots + s_{k+1})h) \, ds_1\dots ds_{k+1} $$
Page 440: Line 4 should read $$2^{j(k+1)} \int_0^1 \dots \int_0^1 \sum_{m_1=1}^n\dots \sum_{m_{k+1}=1}^n h_{m_1}\dots h_{m_{k+1}}(\partial_{m_1} \dots (\partial_{m_{k+1}} \eta)_{2^{-j}}(x+(s_1+\dots + s_{k+1})h) \, ds_1\dots ds_{k+1} $$
Page 440: Line 8. Replace $\|\partial^\alpha \eta \|_{L^\infty}$ by $\|\partial^\alpha \eta \|_{L^1}$
Page 445: Last line. The sum should start at $s=0$.
Page 518: Line 4. Replace $f_Q$ by $Avg _Q f$.
Page 519: Property (7). They should read $ \| \max(f,g) \|_{BMO} \le 2 ( \|f\|_{BMO} +\|g\|_{BMO} ) $. Likewise for min(f,g).
Page 520: Line 3 should read as follows: "Property (7) is an easy consequence of the fact that $| |f| - Avg_Q |f| | \le | f - Avg_Q f | + Avg_Q | f - Avg_Q f |$. "
Page 524: The constant $C$ in Theorem 7.1.6 could be taken $C=e$.
Page 525: Line 1. A summation over $j$ is missing after the first $\le$ sign.
Page 525: Line 4 should read as follows: "(D-1) we used (B-1) and the fact that $Q^{(0)}$ does not satisfy (7.1.10)."
Page 526: Line 3. In (E-k) the Average over $Q_j^{(k-1)}$ should be over $Q_{j'}^{(k-1)}$.
Page 527: Line -7. The quantity $|Q| e^{2^n b} e^{-\alpha}$ after the last $\le $ should be replaced by $ |Q| e E^{-\alpha/2^nb}$.
Page 527: Line -6. The constant $C$ should be $\max(e,b)$.
Page 532: Line -5. $3Q$ and $3Q^c$ should be replaced by $3\sqrt{n}Q$ and $3\sqrt{n}Q^c$ respectively.
Page 533: Line 4. $3Q^c$ should be replaced by $3\sqrt{n}Q^c$.
Page 534: Line 12. Insert $\sup_Q$ after the $\le$ sign.
Page 719: Line -4. Insert $\le c_n [\omega]_{A_p}$ at the end of the displayed expression.
Page 854: Exercise 10.6.5. Part (c). Should be attributed to Hunt [262].
Page A-25: Appendix G. In the statement of the Uniform Boundedness Principle the linear maps $T_\alpha$ should be assumed to be bounded.
Page A-33: Appendix I. Lines -10 and -14. Appendix H.2 should be replaced by Appendix I.2.
Page B-49: References [266], [267], and [268] are misplaced.