Generalized Calderón–Zygmund operators on homogeneous groups and applications

References

• Folland , GB and Stein , EM . 1982 . Hardy Space on Homogeneous Groups, Mathematical Notes , Vol. 28 , Princeton, New Jersey : Princeton University Press and University of Tokyo Press .
   Google Scholar
• Stein , EM . 1993 . Harmonic Analysis–Real Variable Methods, Orthogonality, and Oscillatory Integrals , Princeton, New Jersey : Princeton University Press .
   Google Scholar
• Stein , EM . 1970 . Singular Integrals and Differentiability Properties of Functions , Princeton, New Jersey : Princeton University Press .
   Google Scholar
• Sadosky , C . 1979 . “ Interpolation of Operators and Singular Integrals ” . In Pure and Appl. Math. , New York and Basel : Marcel Dekker .
   Google Scholar
• Stein , EM . 1998 . Singular integrals: the roles of Calderón and Zygmund . Notices Amer. Math. Soc. , 45 : 1130 – 1140 .
   Google Scholar
• Bownik , M . 2005 . Boundedness of operators on Hardy spaces via atomic decompositions . Proc. Amer. Math. Soc. , 133 : 3535 – 3542 .
   Google Scholar
• Bownik , M . 2003 . Anisotropic Hardy spaces and wavelets . Mem. Amer. Math. Soc. , 164 : 122
   Google Scholar
• Garcia-Cuerva , J . 1979 . Weighted H p spaces . Dissertations Math. , 162 : 1 – 63 .
   Google Scholar
• Coifman , R and Weiss , G . 1977 . Extensions of Hardy spaces and their use in analysis . Bull. Amer. Math. Soc. , 83 : 569 – 645 .
   Web of Science ®Google Scholar
• Taibleson , MH and Weiss , G . 1980 . The molecular characterization of certain Hardy spaces . Astérisque, Société Math. de France, Paris , 77 : 67 – 149 .
   Google Scholar
• Chern , SS and Moser , JK . 1974 . Real hypersurfaces in complex manifolds . Acta Math. , 133 : 219 – 271 .
   Web of Science ®Google Scholar
• Greiner , PC and Stein , EM . 1977 . “ Estimates for the -Neumann problem ” . In Math. Notes , Vol. 19 , Princeton, New Jersey : Princeton University Press .
   Google Scholar
• Phong , DH and Stein , EM . 1986 . Hilbert integrals, singular integrals, and Radon transforms I . Acta Math. , 157 : 99 – 157 .
   Web of Science ®Google Scholar
• Phong , DH and Stein , EM . 1986 . Hilbert integrals, singular integrals, and Radon transforms II. . Invent. Math. , 86 : 75 – 113 .
   Web of Science ®Google Scholar
• Phong , DH . 1977 . “ On L p and Hölder estimates for the equations on strongly pseudoconvex domains ” . In Ph.D. dissertation , Princeton University .
   Google Scholar
• Folland , GB and Stein , EM . 1974 . Estimates for the complex and analysis on the Heisenberg group . Comm. Pure Appl. Math. , 27 : 429 – 522 .
   Web of Science ®Google Scholar
• Beals , R and Greiner , PC . “ Heisenberg manifolds ” . In Annales Calculus in Mathematical Studies , Vol. 119 , Princeton, New Jersey : Princeton University Press . ISBN0-691-08500-5, 1998
   Google Scholar
• Berenstein , C , Chang , DC and Tie , J . 2001 . “ Laguerre Calculus on the Heisenberg Group ” . In AMS/IP series in Advanced Mathematics , Vol. 22 , Cambridge, Massachusetts : American Mathematics Society and International Press . ISBN 0-8218-2761-8
   Google Scholar
• Chang , DC . 1988 . On L p and Hölder estimates for the -Neumann problem on strongly pseudoconvex domains . Math. Ann. , 282 : 267 – 297 .
   Web of Science ®Google Scholar
• Chang , DC . 1990 . Estimates for singular integral operators with mixed type homogeneities in Hardy classes . Math. Ann. , 287 : 303 – 322 .
   Google Scholar
• Chang , DC , Nagel , A and Stein , EM . 1992 . Estimates for the -Neumann problem in pseudoconvex domains of finite type in C 2 . Acta Math. , 169 : 153 – 227 .
   Web of Science ®Google Scholar
• Fefferman , CL and Kohn , JJ . 1988 . Hölder estimates on domains of complex dimension two and on three dimensional CR manifolds . Adv. Math. , 69 : 223 – 303 .
   Google Scholar
• Phong , DH and Stein , EM . 1982 . Some further classes of pseudo-differential and singular integral operators arising in boundary-value problems I. . Amer. J. Math. , 157 : 99 – 157 .
   Google Scholar
• Garcia-Cuerva , J and Rubio de Francia , J . 1985 . Weighted Norm Inequalities and Related Topics , Amsterdam : North-Holland . ISBN 0-4448-7804-1
   Google Scholar
• Lee , MY and Lin , CC . 2002 . The molecular characterization of weighted Hardy Spaces . J. Func. Anal. , 188 : 442 – 460 .
   Google Scholar
• Phong , DH . 1979 . On integral representations of the -Neumann operator . Proc. Natl. Acad. Sci. USA , 76 : 1554 – 1558 .
   PubMed Web of Science ®Google Scholar
• Turesson , BO . 1736 . “ Nonlinear potential theory and weighted sobolev spaces ” . In Lecture Notes in Math , New York : Springer-Verlag . ISBN 3-5406-7588-4, 2000
   Google Scholar