Notes on boundedness of spectral multipliers on Hardy spaces associated to operators
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AbstractLetLbe a nonnegative self-adjoint operator onL2(X), whereXis a space of homogeneous type. Assume thatLgenerates an analytic semigroupe–tlwhose kernel satisfies the standard Gaussian upper bounds. We prove that the spectral multiplierF(L) is bounded onfor 0< p< 1, the Hardy space associated to operatorL, whenFis a suitable function.
2011 ◽
Vol 203
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pp. 109-122
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2019 ◽
Vol 63
(2)
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pp. 304-317
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2016 ◽
Vol 103
(2)
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pp. 250-267
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