Non-smooth Atomic Decompositions for Generalized Orlicz–Morrey Spaces of the Third Kind

[1]  Yoshihiro Sawano,et al.  Generalized Morrey spaces and trace operator , 2016, 1605.08500.

[2]  Hitoshi Tanaka,et al.  A remark on two generalized Orlicz-Morrey spaces , 2015, J. Approx. Theory.

[3]  Y. Sawano,et al.  Nonsmooth atomic decompositions for generalized Orlicz-Morrey spaces , 2019 .

[4]  Y. Sawano,et al.  Littlewood–Paley theory for Morrey spaces and their preduals , 2015 .

[5]  Y. Sawano,et al.  Atomic Decomposition for Morrey Spaces , 2014 .

[6]  Y. Sawano,et al.  Orlicz-Hardy spaces and their duals , 2014 .

[7]  Hitoshi Tanaka,et al.  Uniqueness criterion of weak solutions for the dissipative quasi-geostrophic equations in Orlicz–Morrey spaces , 2014 .

[8]  Dachun Yang,et al.  Musielak–Orlicz Besov-type and Triebel–Lizorkin-type spaces , 2014 .

[9]  Eridani,et al.  Characterizations For The Generalized Fractional Integral Operators On Morrey Spaces , 2014 .

[10]  Y. Sawano,et al.  Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces , 2013 .

[11]  Y. Sawano,et al.  On the uniqueness of weak solutions of the 3D MHD equations in the Orlicz–Morrey space , 2013 .

[12]  V. Guliyev Local Generalized Morrey Spaces and Singular Integrals with Rough Kernel , 2013 .

[13]  R. Mustafayev,et al.  New pre-dual space of Morrey space , 2013 .

[14]  S. Samko,et al.  Boundedness of the Maximal and Singular Operators on Generalized Orlicz–Morrey Spaces , 2013 .

[15]  V. Guliyev Generalized Local Morrey Spaces and Fractional Integral Operators with Rough Kernel , 2012, 1212.6928.

[16]  K. Ho Atomic decomposition of Hardy spaces and characterization of BMO via Banach function spaces , 2012 .

[17]  Y. Sawano,et al.  A new Beale–Kato–Majda criteria for the 3D magneto‐micropolar fluid equations in the Orlicz–Morrey space , 2012 .

[18]  Y. Sawano,et al.  A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces , 2012, 1205.2963.

[19]  Y. Sawano,et al.  Hardy spaces with variable exponents and generalized Campanato spaces , 2012 .

[20]  Y. Sawano,et al.  Orlicz–Morrey Spaces and Fractional Operators , 2012 .

[21]  M. I. Utoyo,et al.  FRACTIONAL INTEGRAL OPERATOR AND OLSEN INEQUALITY IN THE NON-HOMOGENEOUS CLASSIC MORREY SPACE , 2012 .

[22]  R. Mustafayev,et al.  On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces , 2012 .

[23]  Y. Sawano,et al.  Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces , 2011 .

[24]  Dachun Yang,et al.  Relations among Besov-type spaces, Triebel–Lizorkin-type spaces and generalized Carleson measure spaces , 2011, 1109.0789.

[25]  Y. Sawano,et al.  Olsen's inequality and its applications to Schrodinger equations (Harmonic Analysis and Nonlinear Partial Differential Equations) , 2011 .

[26]  Y. Sawano,et al.  New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets , 2011, 1103.5667.

[27]  Dachun Yang,et al.  Dual Properties of Triebel-Lizorkin-Type Spaces and their Applications , 2011 .

[28]  H. Rauhut,et al.  Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type , 2010, 1010.0607.

[29]  Satoko Sugano Some inequalities for generalized fractional integral operators on generalized Morrey spaces , 2011 .

[30]  Dachun Yang,et al.  Characterizations of Besov-type and Triebel–Lizorkin-type spaces via maximal functions and local means , 2010 .

[31]  H. Suryawan Fractional integral operators and olsen inequalities on nonhomogeneous spaces , 2010 .

[32]  Y. Sawano Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces on domains , 2010 .

[33]  Wen Yuan,et al.  Morrey and Campanato Meet Besov, Lizorkin and Triebel , 2010, Lecture Notes in Mathematics.

[34]  T. Ullrich Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits , 2010, 1007.3418.

[35]  V. Burenkov,et al.  Boundedness of the fractional maximal operator in local Morrey-type spaces , 2010 .

[36]  Dachun Yang,et al.  New Besov-type spaces and Triebel–Lizorkin-type spaces including Q spaces , 2010 .

[37]  Hitoshi Tanaka MORREY SPACES AND FRACTIONAL OPERATORS , 2010, Journal of the Australian Mathematical Society.

[38]  Y. Sawano,et al.  New applications of Besov-type and Triebel–Lizorkin-type spaces , 2010 .

[39]  Y. Sawano,et al.  Decompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff Spaces and Their Applications , 2010, 1001.1510.

[40]  V. Guliyev Boundedness of the Maximal, Potential and Singular Operators in the Generalized Morrey Spaces , 2009 .

[41]  Y. Sawano A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces , 2009 .

[42]  Henggeng Wang,et al.  Decomposition of Hardy–Morrey spaces , 2009 .

[43]  Dachun Yang,et al.  A new class of function spaces connecting Triebel–Lizorkin spaces and Q spaces , 2008 .

[44]  Y. Sawano WAVELET CHARACTERIZATION OF BESOV-MORREY AND TRIEBEL-LIZORKIN-MORREY SPACES , 2008 .

[45]  E. Nakai Orlicz–Morrey spaces and the Hardy–Littlewood maximal function , 2008 .

[46]  L. Hedberg,et al.  An Axiomatic Approach to Function Spaces, Spectral Synthesis, and Luzin Approximation , 2007 .

[47]  Hitoshi Tanaka,et al.  Decompositions of Besov–Morrey spaces and Triebel–Lizorkin–Morrey spaces , 2007 .

[48]  J. García-cuerva,et al.  Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals , 2006 .

[49]  E. Nakai The Campanato, Morrey and Hlder spaces on spaces of homogeneous type , 2006 .

[50]  N. Kruglyak,et al.  Smooth and Nonsmooth Calderón-Zygmund Type Decompositions for Morrey Spaces , 2005 .

[51]  Hitoshi Tanaka,et al.  Morrey Spaces for Non–doubling Measures , 2005 .

[52]  Jingshi Xu,et al.  Some properties of Morrey type Besov–Triebel spaces , 2005 .

[53]  A. Mazzucato Decomposition of Besov-Morrey Spaces , 2005 .

[54]  V. Burenkov,et al.  Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces , 2004 .

[55]  D. Lieberman,et al.  Fourier analysis , 2004, Journal of cataract and refractive surgery.

[56]  Hitoshi Tanaka,et al.  BOUNDEDNESS OF FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES , 2003 .

[57]  E. Kalita DUAL MORREY SPACES , 1998 .

[58]  H. Kita Inequalities with weights for maximal functions in orlicz spaces , 1996 .

[59]  P. Olsen Fractional Integration, morrey spaces and a schrödinger equation , 1995 .

[60]  E. Nakai Hardy-Littlewood maximal operator, singular integral operators and the Riesz potentials on generalized Morrey spaces , 1994 .

[61]  Timothy S. Murphy,et al.  Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals , 1993 .

[62]  V. Kokilashvili,et al.  Weighted Inequalities in Lorentz and Orlicz Spaces , 1991 .

[63]  M. Rao,et al.  Theory of Orlicz spaces , 1991 .

[64]  J. R. D. Francia Some Maximal Inequalities , 1985 .

[65]  Kenneth F. Andersen,et al.  Weighted inequalities for vector-valued maximal functions and singular integrals , 1981 .

[66]  J. Littlewood,et al.  A maximal theorem with function-theoretic applications , 1930 .