We prove the boundedness of the Stein's spherical maximal operator in variable Lebesgue spaces. The result is then interpreted as the preservation of the integrability properties of the initial velocity of propagation to the solution of the initial-value problem for the wave equation
Boundedness of Stein’s spherical maximal function in variable Lebesgue spaces and application to the wave equation / Fiorenza, Alberto; Gogatishvili, A.; Kopaliani, T.. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - 100:5(2013), pp. 465-472. [10.1007/s00013-013-0509-0]
Boundedness of Stein’s spherical maximal function in variable Lebesgue spaces and application to the wave equation
FIORENZA, ALBERTO;
2013
Abstract
We prove the boundedness of the Stein's spherical maximal operator in variable Lebesgue spaces. The result is then interpreted as the preservation of the integrability properties of the initial velocity of propagation to the solution of the initial-value problem for the wave equationFile in questo prodotto:
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