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- W4387019438 abstract "<abstract><p>In this paper, we introduce variable Gaussian Besov-Lipschitz $ B_{p(cdot), q(cdot)}^{alpha}(gamma_{d}) $ and Triebel-Lizorkin spaces $ F_{p(cdot), q(cdot)}^{alpha}(gamma_{d}), $ i.e., Gaussian Besov-Lipschitz and Triebel-Lizorkin spaces with variable exponents $ p(cdot) $ and $ q(cdot) $, under certain regularity conditions on the functions $ p(cdot) $ and $ q(cdot) $. The condition on $ p(cdot) $ is associated with the Gaussian measure and was introduced in <sup>[<xref ref-type=bibr rid=b3>3</xref>]</sup>. Trivially, they include the Gaussian Besov-Lipschitz $ B_{p, q}^{alpha}(gamma_{d}) $ and Triebel-Lizorkin spaces $ F_{p, q}^{alpha}(gamma_{d}) $ for $ p, q $ constants, which were introduced and studied in <sup>[<xref ref-type=bibr rid=b10>10</xref>]</sup>. We consider some inclusion relations of those spaces and finally prove some interpolation results for them.</p></abstract>" @default.
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- W4387019438 date "2023-01-01" @default.
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- W4387019438 title "Variable exponent Besov-Lipschitz and Triebel-Lizorkin spaces for the Gaussian measure" @default.
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- W4387019438 doi "https://doi.org/10.3934/math.20231388" @default.
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