Sakin Demi̇r

activity

20202022

most citedVariational Inequalities For The Differences Of Averages Over Lacunary Sequences

4 citations · 4 across the 11 of their papers we have counts for

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6 papers · 1 filter

math.CA2020

Complete convergence of the Hilbert transform

Sakin Demir

Suppose that ${a_{j}} \in ℓ^{1}$ , and suppose that for any sequence $(t_{n})$ of integers there exits a constant $C_{1} > 0$ such that $$\sharp\left\{k\in\mathbb{Z}:\sup_{n\geq 1}\left|\…

math.CA2020

Oscillation inequalities on real and ergodic $H^{1}$ spaces

Sakin Demir

Let $(x_{n})$ be a sequence and $ρ \geq 1$ . For a fixed sequences $n_{1} < n_{2} < n_{3} < \dots$ , and $M$ define the oscillation operators $$\mathcal{O}_ρ(x_n)=\left(\sum_{k=1}^\infty\sup_{\subs…

math.CA2020

An extension of Calderon Transfer Principle

Sakin Demir

We first prove that the well known transfer principle of A. P. Calderón can be extended to the vector-valued setting and then we apply this extension to vector-valued inequalities…

math.CA2020

Weighted inequalities in ergodic theory via transference

Sakin Demir

We first extend Calderón's transfer principle to weighted spaces in various different settings under suitable assumptions. Then we apply our results for some inequalities on the re…

math.CA2020

A Sufficient Condition For An Operator To Map $u L^{\infty}$ to $BMO_{u}$

Sakin Demir

Let $T$ be an operator and suppose that there exists a positive constant $C$ such that $(\int_{I} ∣ T f (x) ∣^{q} d x)^{1/ q} \leq C (\int_{I} ∣ f (x) ∣^{q} d x)^{1/ q}$ for e…

math.CA2020

Inequalities For Variation Operator

Sakin Demir

Let $f$ be a measurable function defined on $R$ . For each $n \in Z$ define the operator $A_{n}$ by $A_{n} f (x) = \frac{1}{2 ^{n}} \int_{x}^{x + 2^{n}} f (y) d y .$ Consider the vari…

Complete convergence of the Hilbert transform

Oscillation inequalities on real and ergodic H1 spaces

An extension of Calderon Transfer Principle

Weighted inequalities in ergodic theory via transference

A Sufficient Condition For An Operator To Map uL∞ to BMOu​

Inequalities For Variation Operator

Oscillation inequalities on real and ergodic $H^{1}$ spaces

A Sufficient Condition For An Operator To Map $u L^{\infty}$ to $BMO_{u}$