A. Gurkanli

activity

20182024

most citedMultipliers of grand and small Lebesgue spaces

4 citations · 4 across the 5 of their papers we have counts for

collaborators

6 papers

math.FA2024

Ditkin sets for some functional spaces and applications to grand Lebesgue spaces

A. Turan Gürkanlı

Let $G$ be a locally compact Abelian group with dual group $G$ and Haar measures $d μ$ and $d^μ$ respectively. In this work we have proved that if $X$ is an essential…

math.FA2024

The Generalized Grand Wiener Amalgam Spaces and the boundedness of Hardy-Littlewood maximal operators

A. Turan Gürkanlı

In \cite{g5}, we defined and investigated the grand Wiener amalgam space $W (L^{p), θ_{1}} (Ω), L^{q), θ_{2}} (Ω))$ , where $1 < p, q < \infty, θ_{1} > 0, θ_{2} > 0$ , $Ω \subset R^{n}$ and the Le…

math.FA2020

Bilinear Multipliers of Small Lebesgue spaces

Öznur Kulak, A. Turan Gürkanlı

Let $G$ be a locally compact abelian metric group with Haar measure $λ$ and $G^$ its dual with Haar measure $μ,$ and $λ (G)$ is finite. Assume that $1 < p_{i} < \infty$ , $p_{i}^…

math.FA2019★ 4 cited

Multipliers of grand and small Lebesgue spaces

A. Turan Gurkanli

Let $G$ a locally compact abelian group with Haar measure $μ$ and let $1 < p < \infty.$ In the present paper we determine necessary and sufficient conditions on $G$ for the grand Lebe…

math.FA2019

New properties of grand amalgam spaces

Ahmet Turan Gurkanli

In $[14]$ , a new family called grand amalgam space $W (L^{p), θ}, L^{q), θ})$ of amalgam spaces was defined and investigated properties of these spaces. The present paper…

math.FA2018

On The Grand Wiener Amalgam Spaces

A. Turan Gurkanli

In this article, notations are included in Section 1. In Section 2, we define the grand Wiener amalgam space by using the classical Wiener amalgam space [9, 15, 16, 17] and the gen…