The inner variation of an operator and the essential norms of pointwise multipliers in function spaces

• Autores: Eugene Shargorodsky, David E. Edmunds
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 3, 2005, págs. 841-855
• Idioma: inglés
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• Resumen

  • We show that useful estimates for the essential norm of pointwise multipliers acting on a function space may be easily obtained from certain functional-analytic facts related to the notions of inner variation and the measure of noncompactness. Applications to Besov and Lizorkin-Triebel spaces are given