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catalog contributor b13048953.
catalog created "c2003.".
catalog date "2003".
catalog date "c2003.".
catalog dateCopyrighted "c2003.".
catalog description "Chapter 2. Preliminaries on Capacities 7 -- Chapter 3. Localization of Newton and Riesz Potentials 11 -- 3.1. Localization lemmas 11 -- 3.2. A building block for the construction of special measures 13 -- 3.3. Localization on special cubes 13 -- 3.4. Modification of distribution S. Construction of auxiliary measures 14 -- 3.5. Ahlfors balls 15 -- 3.6. The principal estimate for auxiliary measures 16 -- Chapter 4. From Distribution to Measure. Carleson Property 21 -- Chapter 5. Potential Neighborhood that has Properties (3.13)-(3.14) 25 -- 5.1. Capacities with Calderon-Zygmund (CZ) kernels 26 -- 5.2. Variational capacity and extremal measures 33 -- 5.3. L[superscript p] theory of nonhomogeneous CZ operators. Measure of order m 42 -- 5.4. Riesz and Cauchy kernels: [gamma]+ [characters not reproducible] [gamma subscript op] 45 -- 5.5. Cauchy kernel and analytic capacity 47 -- Chapter 6.".
catalog description "Includes bibliographical references (p. 165-167).".
catalog description "Projections [Lambda] and [Delta subscript Q] 96 -- Chapter 13. Next Step in Theorem 10.6. Good and Bad Functions 101 -- 13.1. Good functions and bad functions again 101 -- 13.2. Reduction to estimates on good functions 102 -- 13.3. Splitting [left angle bracket]T[open phi subscript good], [psi subscript good right angle bracket] to three sums 103 -- 13.4. Three types of estimates of [function of] k(x, y)f(x)g(y)d[mu](x)d[mu](y) 104 -- 13.5. Estimate of long range interaction sum [sigma subscript 2] 106 -- 13.6. Short range interaction sum [sigma subscript 3]. Nonhomogeneous paraproducts 109 -- Chapter 14. Estimate of the Diagonal Sum. Remainder in Theorem 3.3 121 -- 14.1. Estimate of [Sigma subscript term] 123 -- 14.2. Estimate of [Sigma subscript tr] 126 -- Chapter 15. Two Weight Estimate for the Hilbert Transform. Preliminaries 127 -- Chapter 16. Necessity in the Main Theorem 133 -- Chapter 17.".
catalog description "The Tree of the Proof 51 -- Chapter 7. The First Reduction to Nonhomogeneous Tb Theorem 55 -- Chapter 8. The Second Reduction 61 -- 8.1. Suppressed kernels 61 -- 8.2. From real-valued kernel to vector valued kernel 67 -- 8.3. From one lattice to two lattices 68 -- 8.4. Core suppression 69 -- Chapter 9. The Third Reduction 71 -- Chapter 10. The Fourth Reduction 73 -- 10.1. [mu], b, D, [eta] decomposition 73 -- 10.2. Good functions and bad functions 74 -- 10.3. Estimates of nonhomogeneous Calderon-Zygmund operators on good functions 76 -- 10.4. The reduction of Theorem 9.1 to estimates of nonhomogeneous Calderon-Zygmund operator, namely to Theorem 10.6 78 -- Chapter 11. The Proof of Nonhomogeneous Cotlar's Lemma. Arbitrary Measure 83 -- Chapter 12. Starting the Proof of Nonhomogeneous Nonaccretive Tb Theorem 93 -- 12.1. Terminal and transit cubes 94 -- 12.2.".
catalog description "Two Weight Hilbert Transform. Towards the Main Theorem 135 -- 17.1. Bad and good parts of f and g 136 -- 17.2. Estimates on good functions 137 -- Chapter 18. Long Range Interaction 139 -- Chapter 19. The Rest of the Long Range Interaction 143 -- Chapter 20. The Short Range Interaction 145 -- 20.1. The estimate of neighbor-terms 145 -- 20.2. The estimate of stopping terms 145 -- 20.3. The choice of stopping intervals 147 -- Chapter 21. Difficult Terms and Several Paraproducts 153 -- 21.1. First paraproduct 154 -- 21.2. Two more paraproducts 156 -- 21.3. Second paraproduct: miraculous improvement of the Carleson property 159 -- Chapter 22. Two-Weight Hilbert Transform and Maximal Operator 161 -- 22.1. Doubling 161 -- 22.2. No doubling 163.".
catalog extent "iv, 167 p. ;".
catalog identifier "0821832522 (alk. paper)".
catalog isPartOf "CBMS regional conference series in mathematics, 0160-7642 ; no. 100".
catalog isPartOf "Regional conference series in mathematics ; no. 100.".
catalog issued "2003".
catalog issued "c2003.".
catalog language "eng".
catalog publisher "Providence, R.I. : American Mathematical Society,".
catalog subject "510 s 515/.7246 22".
catalog subject "Calderón-Zygmund operator.".
catalog subject "QA1 .R33 329 no. 100 QA329.2".
catalog tableOfContents "Chapter 2. Preliminaries on Capacities 7 -- Chapter 3. Localization of Newton and Riesz Potentials 11 -- 3.1. Localization lemmas 11 -- 3.2. A building block for the construction of special measures 13 -- 3.3. Localization on special cubes 13 -- 3.4. Modification of distribution S. Construction of auxiliary measures 14 -- 3.5. Ahlfors balls 15 -- 3.6. The principal estimate for auxiliary measures 16 -- Chapter 4. From Distribution to Measure. Carleson Property 21 -- Chapter 5. Potential Neighborhood that has Properties (3.13)-(3.14) 25 -- 5.1. Capacities with Calderon-Zygmund (CZ) kernels 26 -- 5.2. Variational capacity and extremal measures 33 -- 5.3. L[superscript p] theory of nonhomogeneous CZ operators. Measure of order m 42 -- 5.4. Riesz and Cauchy kernels: [gamma]+ [characters not reproducible] [gamma subscript op] 45 -- 5.5. Cauchy kernel and analytic capacity 47 -- Chapter 6.".
catalog tableOfContents "Projections [Lambda] and [Delta subscript Q] 96 -- Chapter 13. Next Step in Theorem 10.6. Good and Bad Functions 101 -- 13.1. Good functions and bad functions again 101 -- 13.2. Reduction to estimates on good functions 102 -- 13.3. Splitting [left angle bracket]T[open phi subscript good], [psi subscript good right angle bracket] to three sums 103 -- 13.4. Three types of estimates of [function of] k(x, y)f(x)g(y)d[mu](x)d[mu](y) 104 -- 13.5. Estimate of long range interaction sum [sigma subscript 2] 106 -- 13.6. Short range interaction sum [sigma subscript 3]. Nonhomogeneous paraproducts 109 -- Chapter 14. Estimate of the Diagonal Sum. Remainder in Theorem 3.3 121 -- 14.1. Estimate of [Sigma subscript term] 123 -- 14.2. Estimate of [Sigma subscript tr] 126 -- Chapter 15. Two Weight Estimate for the Hilbert Transform. Preliminaries 127 -- Chapter 16. Necessity in the Main Theorem 133 -- Chapter 17.".
catalog tableOfContents "The Tree of the Proof 51 -- Chapter 7. The First Reduction to Nonhomogeneous Tb Theorem 55 -- Chapter 8. The Second Reduction 61 -- 8.1. Suppressed kernels 61 -- 8.2. From real-valued kernel to vector valued kernel 67 -- 8.3. From one lattice to two lattices 68 -- 8.4. Core suppression 69 -- Chapter 9. The Third Reduction 71 -- Chapter 10. The Fourth Reduction 73 -- 10.1. [mu], b, D, [eta] decomposition 73 -- 10.2. Good functions and bad functions 74 -- 10.3. Estimates of nonhomogeneous Calderon-Zygmund operators on good functions 76 -- 10.4. The reduction of Theorem 9.1 to estimates of nonhomogeneous Calderon-Zygmund operator, namely to Theorem 10.6 78 -- Chapter 11. The Proof of Nonhomogeneous Cotlar's Lemma. Arbitrary Measure 83 -- Chapter 12. Starting the Proof of Nonhomogeneous Nonaccretive Tb Theorem 93 -- 12.1. Terminal and transit cubes 94 -- 12.2.".
catalog tableOfContents "Two Weight Hilbert Transform. Towards the Main Theorem 135 -- 17.1. Bad and good parts of f and g 136 -- 17.2. Estimates on good functions 137 -- Chapter 18. Long Range Interaction 139 -- Chapter 19. The Rest of the Long Range Interaction 143 -- Chapter 20. The Short Range Interaction 145 -- 20.1. The estimate of neighbor-terms 145 -- 20.2. The estimate of stopping terms 145 -- 20.3. The choice of stopping intervals 147 -- Chapter 21. Difficult Terms and Several Paraproducts 153 -- 21.1. First paraproduct 154 -- 21.2. Two more paraproducts 156 -- 21.3. Second paraproduct: miraculous improvement of the Carleson property 159 -- Chapter 22. Two-Weight Hilbert Transform and Maximal Operator 161 -- 22.1. Doubling 161 -- 22.2. No doubling 163.".
catalog title "Calderon-Zygmund capacities and operators on nonhomogeneous spaces / Alexander Volberg.".
catalog type "text".