Anisotropic classes of inhomogeneous pseudodifferential symbols

• Autores: Arpad Bényi, Marcin Bownik
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 64, Fasc. 2, 2013, págs. 155-173
• Idioma: inglés
• DOI: 10.1007/s13348-011-0056-6
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• Resumen

  • We introduce a class of pseudodifferential operators in the anisotropic setting induced by an expansive dilation A which generalizes the classical isotropic class ???,? of inhomogeneous symbols. We extend a well-known L 2-boundedness result to the anisotropic class ?0?,?(?) , 0 ≤ δ < 1. As a consequence, we deduce that operators with symbols in the anisotropic class ?01,0(?) are bounded on L p spaces, 1 < p < ∞.