scholarly journals INTRINSIC SQUARE FUNCTIONS ON FUNCTIONS SPACES INCLUDING WEIGHTED MORREY SPACES

2013 ◽  
Vol 50 (6) ◽  
pp. 1923-1936 ◽  
Author(s):  
Justin Feuto
Keyword(s):  
Morrey Spaces ◽  
Square Functions ◽  
Weighted Morrey Spaces ◽  
Intrinsic Square Functions

scholarly journals Boundedness of Vector-Valued Intrinsic Square Functions in Morrey Type Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Hua Wang
Keyword(s):  
Weak Type ◽  
Growth Function ◽  
Morrey Spaces ◽  
Square Functions ◽  
Doubling Condition ◽  
Weighted Morrey Spaces ◽  
Weak Type Estimates ◽  
Type Spaces ◽  
Vector Valued ◽  
Intrinsic Square Functions

We will obtain the strong type and weak type estimates for vector-valued analogues of intrinsic square functions in the weighted Morrey spacesLp,κ(w)when1≤p<∞,0<κ<1, and in the generalized Morrey spacesLp,Φfor1≤p<∞, whereΦis a growth function on(0,∞)satisfying the doubling condition.

scholarly journals Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Guilian Gao ◽  
Xiaomei Wu
Keyword(s):  
Weak Type ◽  
Morrey Spaces ◽  
Strong Type ◽  
Square Functions ◽  
Weighted Morrey Spaces ◽  
Weak Type Estimates ◽  
Intrinsic Square Functions

We prove the boundedness of the intrinsic functions on generalized weighted Morrey spacesMp,φ(w), including the strong type estimates and weak type estimates. Moreover, we define thekth-order commutators generated byBMORnfunctions and intrinsic functions, and obtain their strong type estimates onMp,φ(w). In some cases, we improve previous results.

Intrinsic Square Functions on Vanishing Generalized Orlicz-Morrey Spaces

2017 ◽  
Vol 25 (4) ◽  
pp. 807-828 ◽  
Author(s):  
Fatih Deringoz ◽  
Vagif S. Guliyev ◽  
Maria Alessandra Ragusa
Keyword(s):  
Morrey Spaces ◽  
Square Functions ◽  
Intrinsic Square Functions

The Dirichlet problem for the uniformly elliptic equation in generalized weighted Morrey spaces

2020 ◽  
Vol 57 (1) ◽  
pp. 68-90 ◽  
Author(s):  
Tahir S. Gadjiev ◽  
Vagif S. Guliyev ◽  
Konul G. Suleymanova
Keyword(s):  
Elliptic Equations ◽  
A Priori Estimates ◽  
A Priori ◽  
Morrey Spaces ◽  
Smooth Bounded Domain ◽  
Weighted Morrey Spaces ◽  
Priori Estimates ◽  
Muckenhoupt Class ◽  
Morrey Estimates ◽  
Dirichlet Boundary Problem

Abstract In this paper, we obtain generalized weighted Sobolev-Morrey estimates with weights from the Muckenhoupt class Ap by establishing boundedness of several important operators in harmonic analysis such as Hardy-Littlewood operators and Calderon-Zygmund singular integral operators in generalized weighted Morrey spaces. As a consequence, a priori estimates for the weak solutions Dirichlet boundary problem uniformly elliptic equations of higher order in generalized weighted Sobolev-Morrey spaces in a smooth bounded domain Ω ⊂ ℝn are obtained.

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