On an inequality in Lebesgue space with mixed norm and with variable summability exponent

Author:

Bandaliev R. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference14 articles.

1. I. I. Sharapudinov, “Topology of the spaceℒ p(t) ([0, 1]),” Mat. Zametki 26(4), 613–632 (1979) [Math. Notes 26 (3–4), 796–806 (1980)].

2. O. Kováčik and J. Rákosník, “On spaces L p(x) and W k,p(x),” Czechoslovak Math. J. 41(4), 592–618 (1991).

3. S. G. Samko, “Convolution type operators in L p(x),” Integral Transform. Spec. Funct. 7(1–2), 123–144 (1998).

4. I. I. Sharapudinov, “On the basis property of the Haar system in the space % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXguY9 % gCGievaerbd9wDYLwzYbWexLMBbXgBcf2CPn2qVrwzqf2zLnharyav % P1wzZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC % 0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yq % aqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabe % qaamaaeaqbaaGcbaWefv3ySLgznfgDOfdarCqr1ngBPrginfgDObYt % UvgaiyaacqWFsectdaahaaWcbeqaaiabdchaWjabcIcaOiabdsha0j % abcMcaPaaaaaa!4B20! $$ \mathcal{L}^{p(t)} $$ ([0, 1]) and the principle of localization in the mean,” Mat. Sb. 130(2), 275–283 (1986) [Math. USSR-Sb. 58, 279–287 (1987)].

5. I. I. Sharapudinov, “Uniform boundedness in L p, (p = p(x)) of some families of convolution operators,” Mat. Zametki 59(2), 291–302 (1996) [Math. Notes 59 (1–2), 205–212 (1996)].

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