scholarly journals Parabolic oblique derivative problem with discontinuous coefficients in generalized Morrey spaces

2013 ◽  
Vol 62 (2) ◽  
pp. 265-278 ◽  
Author(s):  
Lubomira G. Softova
Keyword(s):  
Discontinuous Coefficients ◽  
Morrey Spaces ◽  
Oblique Derivative Problem ◽  
Generalized Morrey Spaces ◽  
Derivative Problem

scholarly journals Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces

2016 ◽  
Vol 14 (1) ◽  
pp. 49-61
Author(s):  
Vagif S. Guliyev ◽  
Mehriban N. Omarova
Keyword(s):  
Morrey Space ◽  
Discontinuous Coefficients ◽  
Morrey Spaces ◽  
Oblique Derivative Problem ◽  
Derivative Problem ◽  
Weighted Morrey Space ◽  
Weighted Morrey Spaces ◽  
Vmo Coefficients ◽  
Generalized Weighted Morrey Space ◽  
The Right

AbstractWe obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized weighted Morrey space Mp,ϕ(Q, w), than the strong solution belongs to the generalized weighted Sobolev- Morrey space $\dot W_{2,1}^{p,\varphi }\left( {Q,\omega } \right)$.

Elliptic equations with discontinuous coefficients in generalized Morrey spaces

2017 ◽  
Vol 3 (3) ◽  
pp. 728-762 ◽  
Author(s):  
Giuseppe Di Fazio ◽  
Denny Ivanal Hakim ◽  
Yoshihiro Sawano
Keyword(s):  
Elliptic Equations ◽  
Discontinuous Coefficients ◽  
Morrey Spaces ◽  
Generalized Morrey Spaces

scholarly journals Some estimates for the commutators of multilinear maximal function on Morrey-type space

2021 ◽  
Vol 19 (1) ◽  
pp. 515-530
Author(s):  
Xiao Yu ◽  
Pu Zhang ◽  
Hongliang Li
Keyword(s):  
Maximal Function ◽  
Morrey Space ◽  
Morrey Spaces ◽  
Bounded Mean Oscillation ◽  
Generalized Morrey Spaces ◽  
Type Space ◽  
Bmo Function ◽  
Mean Oscillation ◽  
Multilinear Maximal Function ◽  
Equivalent Conditions

Abstract In this paper, we study the equivalent conditions for the boundedness of the commutators generated by the multilinear maximal function and the bounded mean oscillation (BMO) function on Morrey space. Moreover, the endpoint estimate for such operators on generalized Morrey spaces is also given.

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