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Analytic normal basis theorem

100%

Alexandru V., Popescu N., Zaharescu A.

Open Mathematics

2008

tom 6

nr 3

351-356

Let p be a prime number, ℚp the field of p-adic numbers, and $$ \bar {\mathbb{Q}}_p $$ a fixed algebraic closure of ℚp. We provide an analytic version of the normal basis theorem which holds for normal extensions of intermediate fields ℚp ⊆ K ⊆ L ⊆ $$ \bar {\mathbb{Q}}_p $$ .

On the closed subfields of [...] Q ¯ ~ p ${\tilde{\bar Q}}_p$

80%

Achimescu S., Alexandru V., Stelian Andronescu C.

Open Mathematics

2016

tom 14

nr 1

347-351

Let p be a prime number, and let [...] Q¯~p$\bf{\tilde{\bar {\text Q}}}_p$ be the completion of Q with respect to the pseudovaluation w which extends the p-adic valuation vp. In this paper our goal is to give a characterization of closed subfields of [...] Q¯~p $\bf{\tilde{\bar {\text Q}}}_p$, the completion of Q with respect w, i.e. the spectral extension of the p-adic valuation vp on Q.

Weighted multilinearp-adic Hardy operators and commutators

61%

Liu R., Zhou J.

Open Mathematics

2017

tom 15

nr 1

1623-1634

In this paper, the weighted multilinear p-adic Hardy operators are introduced, and their sharp bounds are obtained on the product of p-adic Lebesgue spaces, and the product of p-adic central Morrey spaces, the product of p-adic Morrey spaces, respectively. Moreover, we establish the boundedness of commutators of the weighted multilinear p-adic Hardy operators on the product of p-adic central Morrey spaces. However, it’s worth mentioning that these results are different from that on Euclidean spaces due to the special structure of the p-adic fields.

Ograniczanie wyników

3 Open Mathematics

2 Alexandru V.

1 Achimescu S.

1 Liu R.

1 Popescu N.

1 Stelian Andronescu C.

1 Zaharescu A.

1 Zhou J.

1 2017

1 2016

1 2008

Wyniki wyszukiwania

Analytic normal basis theorem

On the closed subfields of [...] Q ¯ ~ p ${\tilde{\bar Q}}_p$

Weighted multilinearp-adic Hardy operators and commutators