An extension of the mihlin-hormander theorem with applications to initial value problems

References

• Brenner , P. , Thomee , V. and Wahlbin , L. B. 1975 . Besov spaces and Applications to Difference Methods for Initial Value Problems , Berlin : Springer- Verlag .
   Google Scholar
• Coifman , R. R. 1974 . A real variable characterization of . H^p, Stadia Math , 51 : 269 – 274 .
   Web of Science ®Google Scholar
• Coifman , R. R. and Weiss , G. 1977 . Extensions of Hardy spaces and their uses in analysis . Bull. Am. Math. Soc , 83 : 569 – 645 .
   Web of Science ®Google Scholar
• de Michele , L. and Inglis , I. R. 1977 . Lp estimates for strongly singular integrals on spaces of homogeneous type, in . J. Functional Analysis , 83
   Google Scholar
• Fefferman , C. 1970 . Inequalities for strongly singular convolution operators . Ada Math , 124 : 9 – 36 .
   Google Scholar
• Fefferman , C. and Stein , E. M. 1972 . HHp spaces of several variables . Acta Math , 129 : 137 – 193 .
   Web of Science ®Google Scholar
• Hirschman Jr , I. I. 1956 . Multiplier transformations 1 . Duke Math. J , 26 : 222 – 242 .
   Google Scholar
• Ishii , H. 1974 . On some Fourier multipliers and partial differential equations . Math. Jap , 19 : 139 – 163 .
   Google Scholar
• Johnson , R. 1975 . Convoluters of Hp spaces . Bull. Am. Math. Soc , 81 : 711 – 714 .
   Google Scholar
• Lanconelli , E. 1968 . Valutazione in Lp(Un) della soluzione del problema di Cauchy per 1'equazione di Schrodinger . Bull. Un. Mat. ItaL , 1 : 591 – 607 .
   Google Scholar
• Latter , R. H. 1978 . A characterization of Hp(Un) in terms of atoms . Studia Math , 62 : 93 – 101 .
   Web of Science ®Google Scholar
• Stein , E. M. 1972 . Singular integrals and differentiability properties of functions , Princeton : Univ. Press .
   Google Scholar
• Wainger , S. 1965 . Special trigonometric series in k dimensions . Mem. Amer. Math. Soc , 59
   Google Scholar