Harmonic Analysis

Klappentext

Un nouveal espace fonctionnel adapte a l'etude des operateurs definis par des integrales singulieres.- Application of Carleson measures to partial differential equations and Fourier multiplier problems.- On the maximal function for the Mehler kernel.- Pointwise behavpour of solutions to Schr dinger equations.- An application of Lp estimates to scattering theory.- Elementary characterizations of the Morrey-Campanato spaces.- On nonisotropic Lipschitz spaces.- Lipschitz spaces on compact rank one symmetric spaces.- On the Sobolev spaces Wk,1(Rn).- Interval averages of H1-functions and BMO norm of inner functions.- An H1 function with non-summable Fourier expansion.- Integral characterization of a space generated by blocks.- Another characterization of Hp, 0<p<?, with an application to interpolation.- The maximal function on weighted BMO.- Weighted Hardy spaces and the Laplace transform.- Vector valued inequalities of Marcinkiewicz-Zygmund and Grothendieck type for Toeplitz forms.- Functions of bounded variation and fractional dimension.- Pathological properties and S.I.P. measures on metrizable groups.- Uniformly bounded representations and LP- convolution operators on a free group.- Spherical functions on symmetric graphs.- A remark on mappings of bounded symmetric domains into balls.- The Cauchy-Ahlfors operator, an invariant differential operator for vector fields.- A kernel for generalized Cauchy-Riemann systems.- Harmonic analysis on groups of Heisenberg type.- Surjectivity of the conditionals expectations on the L1 spaces.- Generalisations of Heisenberg's inequality.

Inhalt
Un nouveal espace fonctionnel adapte a l'etude des operateurs definis par des integrales singulieres.- Application of Carleson measures to partial differential equations and Fourier multiplier problems.- On the maximal function for the Mehler kernel.- Pointwise behavpour of solutions to Schrödinger equations.- An application of Lp estimates to scattering theory.- Elementary characterizations of the Morrey-Campanato spaces.- On nonisotropic Lipschitz spaces.- Lipschitz spaces on compact rank one symmetric spaces.- On the Sobolev spaces Wk,1(Rn).- Interval averages of H1-functions and BMO norm of inner functions.- An H1 function with non-summable Fourier expansion.- Integral characterization of a space generated by blocks.- Another characterization of Hp, 0<p<?, with an application to interpolation.- The maximal function on weighted BMO.- Weighted Hardy spaces and the Laplace transform.- Vector valued inequalities of Marcinkiewicz-Zygmund and Grothendieck type for Toeplitz forms.- Functions of bounded variation and fractional dimension.- Pathological properties and S.I.P. measures on metrizable groups.- Uniformly bounded representations and LP- convolution operators on a free group.- Spherical functions on symmetric graphs.- A remark on mappings of bounded symmetric domains into balls.- The Cauchy-Ahlfors operator, an invariant differential operator for vector fields.- A kernel for generalized Cauchy-Riemann systems.- Harmonic analysis on groups of Heisenberg type.- Surjectivity of the conditionals expectations on the L1 spaces.- Generalisations of Heisenberg's inequality.