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

For 1≤ p≤∞, A_w,ω^p(R^d) denotes the space (Banach space) of all functions in
L_w^1(R^d) a weighted L¹—space (Beurling algebra) with Fourier transforms f̂ in …

Let omega (1) and omega (2) be weight functions on Rd, Rd x R+, respectively. Throughout
this paper, we define D-omega 1, omega 2 (p, q)(Rd) to be the vector space of f is an …

In the second section of this paper, in analogy to modulation spaces, we define the space $
M (p, q)(R^{d}) $ to be the subspace of tempered distributions $ f\in S'(R^{d}) $ such that the …

This paper is a study on a new kind modulation spaces M (P, Q)(R^ d) and A (P, Q, r)(R^ d)
for indices in the range 1< P<∞, 1≤ Q<∞ and 1≤ r<∞, modelled on Lorentz mixed norm …

Let g be a non-zero rapidly decreasing function and w be a weight function. In this article in
analog to modulation space, we define the space M (p, q, w)(ℝd) to be the subspace of …

Let g be a non-zero rapidly decreasing function and w be a weight function. In this article in
analog to modulation space, we define the space M (p, q, w)(Rd) to be the subspace of …

In this paper, we define $ A_ {\vartheta _ {1},\vartheta _ {2}}^{p, 1, q, r}\left (G\right) $ to be
space of all functions in $\left (L_ {\vartheta_ {1}}^{p},\ell^{1}\right) $ whose Fourier …

Let ω1 and ω2 be weight functions on Rd, Rd× R+, respectively. Throughout this paper, we
define Dp, q ω1, ω2 (Rd) to be the vector space of f∈ Lp ω1 (Rd) such that the wavelet …

On L1 w (G) ∩ L(p, q)(G) Spaces Page 1 Int. Journal of Math. Analysis, Vol. 4, 2010, no. 17,
819 - 826 On L1 w (G) ∩ L(p, q)(G) Spaces Ilker Eryilmaz and Cenap Duyar 19 Mayıs …